Adding to 972 its sum of digits (18), we get a triangular number (990 = T44).
It is a tau number, because it is divible by the number of its divisors (18).
It is a plaindrome in base 7, base 13, base 15 and base 16.
It is a nialpdrome in base 3, base 6 and base 10.
It is a zygodrome in base 2 and base 3.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972.
2972 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
972 is a wasteful number, since it uses less digits than its factorization.
972 is an evil number, because the sum of its binary digits is even.
The square root of 972 is about 31.1769145362. The cubic root of 972 is about 9.9057817467.
The spelling of 972 in words is "nine hundred seventy-two", and thus it is an aban number.