972094032 has 240 divisors, whose sum is σ = 3457778688. Its totient is φ = 248002560.

The previous prime is 972094031. The next prime is 972094033. The reversal of 972094032 is 230490279.

It is an interprime number because it is at equal distance from previous prime (972094031) and next prime (972094033).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972094031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405028 + ... + 407420.

Almost surely, 2^972094032 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 972094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

972094032 is an abundant number, since it is smaller than the sum of its proper divisors (2485684656).

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

972094032 is a wasteful number, since it uses less digits than its factorization.

972094032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 972094032 is about 31178.4225386725. The cubic root of 972094032 is about 990.6101167272.

The spelling of 972094032 in words is "nine hundred seventy-two million, ninety-four thousand, thirty-two".