972034272 has 72 divisors (see below), whose sum is σ = 3015525240. Its totient is φ = 294554880.

The previous prime is 972034241. The next prime is 972034309. The reversal of 972034272 is 272430279.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150247 + ... + 156582.

It is an arithmetic number, because the mean of its divisors is an integer number (41882295).

Almost surely, 2^972034272 is an apocalyptic number.

It is an amenable number.

972034272 is an abundant number, since it is smaller than the sum of its proper divisors (2043490968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972034272 is a wasteful number, since it uses less digits than its factorization.

972034272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306856 (or 306845 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 972034272 is about 31177.4641688512. The cubic root of 972034272 is about 990.5898168824.

It can be divided in two parts, 97203 and 4272, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 972034272 in words is "nine hundred seventy-two million, thirty-four thousand, two hundred seventy-two".