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Dozens are a thing because it has a lot of factors.
E.g. 12=2*2*3.
In comparison, 10=2*5 is poor. It's worth is you take powers. 10^2=2*2*5*5 has much fewer different factors than 12^2.
At the missing prime 5 and you're at 60=2*3*5, e.g. used for time. Best number to have many different factors.
Add more prime factor, 360=60*(2*3) and you're a rich bitch.
The factors are 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180.