82872032 has 24 divisors (see below), whose sum is σ = 165593736. Its totient is φ = 40816512.

The previous prime is 82872001. The next prime is 82872037. The reversal of 82872032 is 23027828.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 82872032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82872037) 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 3 ways as a sum of consecutive naturals, for example, 17183 + ... + 21470.

It is an arithmetic number, because the mean of its divisors is an integer number (6899739).

Almost surely, 2^82872032 is an apocalyptic number.

It is an amenable number.

82872032 is a deficient number, since it is larger than the sum of its proper divisors (82721704).

82872032 is a wasteful number, since it uses less digits than its factorization.

82872032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38730 (or 38722 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 82872032 is about 9103.4077135982. The cubic root of 82872032 is about 435.9827729355.

The spelling of 82872032 in words is "eighty-two million, eight hundred seventy-two thousand, thirty-two".