The phrase "put about" refers to spreading rumors and false information. Some common synonyms that can be used instead of "put about" are "circulate," "disseminate," and "propagate." These words all suggest the act of spreading something widely or making it known to many people. Other synonyms that can be used in this context include "broadcast," "spread," and "rumor." It's important to note that while these words can be used interchangeably with "put about," they may also carry slightly different connotations. For example, "circulate" suggests a more intentional effort to spread information, while "rumor" may imply that the information being spread is unverified or untrustworthy.