57679872 has 56 divisors (see below), whose sum is σ = 153869136. Its totient is φ = 19218432.

The previous prime is 57679841. The next prime is 57679873. The reversal of 57679872 is 27897675.

Its product of digits (1481760) is a multiple of the sum of its prime divisors (2352).

It is not an unprimeable number, because it can be changed into a prime (57679873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23403 + ... + 25749.

Almost surely, 2^57679872 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 57679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76934568).

57679872 is an abundant number, since it is smaller than the sum of its proper divisors (96189264).

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

57679872 is an equidigital number, since it uses as much as digits as its factorization.

57679872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2352 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 57679872 is about 7594.7265915239. The cubic root of 57679872 is about 386.3741796548.

The spelling of 57679872 in words is "fifty-seven million, six hundred seventy-nine thousand, eight hundred seventy-two".