"Go around with" is a commonly used phrasal verb that means to spend time with someone or to be in a relationship with them. There are several synonyms for this phrase, including hang out with, keep company with, associate with, and socialize with. These synonyms can all be used to express the act of spending time with someone in a casual or more serious manner. Depending on the context, some of these synonyms may be more appropriate than others. For example, "hang out with" is more informal than "socialize with," and "associate with" may suggest a more professional or business relationship.