82524672 has 60 divisors (see below), whose sum is σ = 238185090. Its totient is φ = 27506688.

The previous prime is 82524661. The next prime is 82524709. The reversal of 82524672 is 27642528.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 10342656 = 8496^2 + 3216^2 .

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 4347 + ... + 13562.

Almost surely, 2^82524672 is an apocalyptic number.

It is an amenable number.

82524672 is an abundant number, since it is smaller than the sum of its proper divisors (155660418).

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

82524672 is a wasteful number, since it uses less digits than its factorization.

82524672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933 (or 17914 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 82524672 is about 9084.3091096682. The cubic root of 82524672 is about 435.3727759772.

The spelling of 82524672 in words is "eighty-two million, five hundred twenty-four thousand, six hundred seventy-two".