The phrase "had got to" typically implies a sense of obligation or necessity. There are several synonyms that can be used to convey a similar meaning, such as "had to," "needed to," "must," "should have," "was required to," or "was compelled to." Each of these phrases communicates a sense of urgency or responsibility to take action. For example, one might say "I had to leave early for the meeting" or "I was required to finish the project by Friday." These synonyms provide alternative options that can help to vary the language used and add depth to written or spoken communication.