rumlaufen
to run around
To move around on foot without a specific goal or intention; colloquial for herumlaufen (to walk around).
Die Kinder laufen den ganzen Nachmittag im Park rum.
The children run around in the park all afternoon.

to run around
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to run around
To move around on foot without a specific goal or intention; colloquial for herumlaufen (to walk around).
Die Kinder laufen den ganzen Nachmittag im Park rum.
The children run around in the park all afternoon.

'Rumlaufen' (to run around) is a separable verb. The prefix 'rum-' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er läuft den ganzen Tag im Park rum.
He runs around in the park all day.
'Rumlaufen' (to run around) is the colloquial, shortened form of 'herumlaufen' (to walk around). In more formal or written texts, the full form is usually used.
Die Katze läuft schon den ganzen Morgen im Garten rum.
The cat has been running around in the garden all morning.
When talking about clothing, 'rumlaufen' (to go around) is often used with a preposition such as 'in' or 'mit' to describe the item of clothing. The statement often has a slightly critical or surprised undertone.
Du kannst doch nicht in Socken auf der kalten Terrasse rumlaufen!
You can't go around on the cold terrace in socks!
In the meaning 'sich verbreiten' (to spread), the subject is often a rumor or a piece of news. The impersonal construction 'es läuft ... rum, dass ...' is also frequently used.
Es läuft das Gerücht rum, dass die Firma bald schließt.
There's a rumor going around that the company will close soon.
to handle / avoid / circulate
'umgehen' and 'rumlaufen' can both say that a rumor or piece of information is spreading. 'umgehen' sounds more neutral and fits well with rumors, illnesses, or reports that are in circulation. 'rumlaufen' is colloquial and sounds more casual; it is used more in conversations about news or rumors that are being told everywhere. They can be confused because both have a similar idea. In more formal situations, 'umgehen' is more natural; in everyday speech, 'rumlaufen' can fit.

Seit gestern läuft bei den Nachbarn die Nachricht rum, dass ein neues Geschäft öffnet.
Since yesterday, the news has been going around among the neighbors that a new shop is opening.
In der Firma geht das Gerücht um, dass die Abteilung umzieht.
There is a rumor going around at the company that the department is moving.