972076 has 24 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 412032.

The previous prime is 972071. The next prime is 972079. The reversal of 972076 is 670279.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (972071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4056 + ... + 4288.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

2⁹⁷²⁰⁷⁶ is an apocalyptic number.

It is an amenable number.

972076 is an abundant number, since it is smaller than the sum of its proper divisors (993524).

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

972076 is a wasteful number, since it uses less digits than its factorization.

972076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 972076 is about 985.9391461951. The cubic root of 972076 is about 99.0603991534.

It can be divided in two parts, 9720 and 76, that multiplied together give a triangular number (738720 = T₁₂₁₅).

The spelling of 972076 in words is "nine hundred seventy-two thousand, seventy-six".