972756 has 24 divisors (see below), whose sum is σ = 2522240. Its totient is φ = 324216.

The previous prime is 972721. The next prime is 972787. The reversal of 972756 is 657279.

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

It is a self number, because there is not a number n which added to its sum of digits gives 972756.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4396 + ... + 4611.

2⁹⁷²⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

972756 is an abundant number, since it is smaller than the sum of its proper divisors (1549484).

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

972756 is a wasteful number, since it uses less digits than its factorization.

972756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 9012 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 972756 is about 986.2839347774. The cubic root of 972756 is about 99.0834924679.

It can be divided in two parts, 972 and 756, that added together give a cube (1728 = 12³).

The spelling of 972756 in words is "nine hundred seventy-two thousand, seven hundred fifty-six".