3972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (12).
It is a plaindrome in base 15.
It is a nialpdrome in base 16.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3972.
It is an unprimeable number.
3972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
3972 is a Friedman number, since it can be written as (9*7)^2+3, using all its digits and the basic arithmetic operations.
It is an amenable number.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3972 is a wasteful number, since it uses less digits than its factorization.
3972 is an evil number, because the sum of its binary digits is even.
The square root of 3972 is about 63.0238050264. The cubic root of 3972 is about 15.8368843990.
Adding to 3972 its sum of digits (21), we get a palindrome (3993).
The spelling of 3972 in words is "three thousand, nine hundred seventy-two".