For special properties of integers between $1$ and $9999$, take a look here:
What's Special About This Number?
As regards 1372, it says that 1372 is the smallest number (greater than 2) that can not be written as the sum of 3 volumes of rectangular boxes with integer dimensions less than $10$.
An interesting property since the maximum volume of such 3 boxes is $3\cdot 9^3=2187$.