The phrase "easy disposition" refers to a personality type where someone is calm and relaxed. There are many potential synonyms for this phrase, including "laid-back", "easygoing", "unflappable", "mellow", "relaxed", "carefree", "calm", and "peaceful." Each of these words describes someone who is able to maintain a sense of inner peace and tranquility, even in the face of stress or challenges. Some of these synonyms might have slightly different connotations - for example, "laid-back" may suggest a more carefree or bohemian vibe, whereas "unflappable" implies a sense of composure even in high-stress situations. However, all of these words capture the same general sense of a person with an easygoing nature.