57872760 has 128 divisors (see below), whose sum is σ = 200620800. Its totient is φ = 13199360.

The previous prime is 57872747. The next prime is 57872783. The reversal of 57872760 is 6727875.

57872760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21151 + ... + 23729.

It is an arithmetic number, because the mean of its divisors is an integer number (1567350).

Almost surely, 2^57872760 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 57872760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100310400).

57872760 is an abundant number, since it is smaller than the sum of its proper divisors (142748040).

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

57872760 is a wasteful number, since it uses less digits than its factorization.

57872760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 57872760 is about 7607.4148039922. The cubic root of 57872760 is about 386.8043934000.

The spelling of 57872760 in words is "fifty-seven million, eight hundred seventy-two thousand, seven hundred sixty".