57625872 has 80 divisors (see below), whose sum is σ = 155382912. Its totient is φ = 18385920.

The previous prime is 57625861. The next prime is 57625873. The reversal of 57625872 is 27852675.

57625872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57625872² = 6641482247520768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57625873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125868 + ... + 126324.

Almost surely, 2^57625872 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 57625872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77691456).

57625872 is an abundant number, since it is smaller than the sum of its proper divisors (97757040).

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

57625872 is a wasteful number, since it uses less digits than its factorization.

57625872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 57625872 is about 7591.1706607084. The cubic root of 57625872 is about 386.2535672736.

The spelling of 57625872 in words is "fifty-seven million, six hundred twenty-five thousand, eight hundred seventy-two".