972024 has 32 divisors (see below), whose sum is σ = 2460240. Its totient is φ = 320000.

The previous prime is 972017. The next prime is 972029. The reversal of 972024 is 420279.

972024 = T₁₂₇ + T₁₂₈ + ... + T₁₉₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 971985 and 972003.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972024.

It is not an unprimeable number, because it can be changed into a prime (972029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2224 + ... + 2624.

2⁹⁷²⁰²⁴ is an apocalyptic number.

It is an amenable number.

972024 is an abundant number, since it is smaller than the sum of its proper divisors (1488216).

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

972024 is a wasteful number, since it uses less digits than its factorization.

972024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 972024 is about 985.9127750466. The cubic root of 972024 is about 99.0586327508.

The spelling of 972024 in words is "nine hundred seventy-two thousand, twenty-four".