Mathematics · Time and Work

A alone can build a wall in 36 days, B alone can build the same wall in 60 days, while C can completely destroy the built wall in 72 days. They work in a rotation where A works alone on the 1st, 4th, 7th day, B works alone on the 2nd, 5th, 8th day, and C works alone on the 3rd, 6th, ninth day, and so on. This process continues until the wall is completely built, after which C can no longer destroy it. In how many days will the entire work be completed?