57107872 has 48 divisors (see below), whose sum is σ = 116635680. Its totient is φ = 27502848.

The previous prime is 57107851. The next prime is 57107881. The reversal of 57107872 is 27870175.

57107872 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 2×57107872² = 6522618088736768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 164403 + ... + 164749.

It is an arithmetic number, because the mean of its divisors is an integer number (2429910).

Almost surely, 2^57107872 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 57107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58317840).

57107872 is an abundant number, since it is smaller than the sum of its proper divisors (59527808).

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

57107872 is a wasteful number, since it uses less digits than its factorization.

57107872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 37.

The square root of 57107872 is about 7556.9750561981. The cubic root of 57107872 is about 385.0927352930.

The spelling of 57107872 in words is "fifty-seven million, one hundred seven thousand, eight hundred seventy-two".