57111672 has 64 divisors (see below), whose sum is σ = 152524800. Its totient is φ = 17781120.

The previous prime is 57111667. The next prime is 57111709. The reversal of 57111672 is 27611175.

It is a congruent number.

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, 20253 + ... + 22899.

It is an arithmetic number, because the mean of its divisors is an integer number (2383200).

Almost surely, 2^57111672 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 57111672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76262400).

57111672 is an abundant number, since it is smaller than the sum of its proper divisors (95413128).

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

57111672 is a wasteful number, since it uses less digits than its factorization.

57111672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its digits is 2940, while the sum is 30.

The square root of 57111672 is about 7557.2264753678. The cubic root of 57111672 is about 385.1012765552.

The spelling of 57111672 in words is "fifty-seven million, one hundred eleven thousand, six hundred seventy-two".