There are several synonyms that can be used to describe someone or something that is insensible. Some of the most common synonyms include unfeeling, indifferent, emotionless, apathetic, and uncaring. These words all describe a lack of sensitivity or awareness to one's surroundings or emotions. Other synonyms that can be used to describe insensible include insensitive, numb, deadened, and impassive. Each of these words describes a different level of emotional detachment or lack of awareness, but they all share a common theme of being unresponsive to surrounding stimuli. Whether you are trying to describe a person or a situation, these synonyms can help you find the right words to express the concept of insensibility.