and the list goes on.
360 divided by 5 is 72. 360/5=72
360 divided 6 = 60
In a sense it's entirely arbitrary, but 360 has the advantage that it can be divided by so many different numbers (technically it has a lot of factors).
72
20
20
45
2
6
5
360 divided by 3/4 is 480.
360 divided into the ratio of 45 = 8