82057872 has 80 divisors (see below), whose sum is σ = 230610240. Its totient is φ = 24992256.

The previous prime is 82057847. The next prime is 82057883. The reversal of 82057872 is 27875028.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82057872.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66154 + ... + 67382.

It is an arithmetic number, because the mean of its divisors is an integer number (2882628).

Almost surely, 2^82057872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82057872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305120).

82057872 is an abundant number, since it is smaller than the sum of its proper divisors (148552368).

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

82057872 is a wasteful number, since it uses less digits than its factorization.

82057872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 82057872 is about 9058.5800211733. The cubic root of 82057872 is about 434.5503293524.

The spelling of 82057872 in words is "eighty-two million, fifty-seven thousand, eight hundred seventy-two".