57355872 has 144 divisors (see below), whose sum is σ = 178400880. Its totient is φ = 16084992.

The previous prime is 57355849. The next prime is 57355873. The reversal of 57355872 is 27855375.

57355872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57355873) 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 23 ways as a sum of consecutive naturals, for example, 418588 + ... + 418724.

It is an arithmetic number, because the mean of its divisors is an integer number (1238895).

Almost surely, 2^57355872 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 57355872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89200440).

57355872 is an abundant number, since it is smaller than the sum of its proper divisors (121045008).

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

57355872 is a wasteful number, since it uses less digits than its factorization.

57355872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its digits is 294000, while the sum is 42.

The square root of 57355872 is about 7573.3659623710. The cubic root of 57355872 is about 385.6493724192.

The spelling of 57355872 in words is "fifty-seven million, three hundred fifty-five thousand, eight hundred seventy-two".