57512672 has 72 divisors (see below), whose sum is σ = 134935416. Its totient is φ = 24046848.

The previous prime is 57512671. The next prime is 57512687. The reversal of 57512672 is 27621575.

It is a happy number.

57512672 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 not an unprimeable number, because it can be changed into a prime (57512671) 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 11 ways as a sum of consecutive naturals, for example, 66998 + ... + 67850.

It is an arithmetic number, because the mean of its divisors is an integer number (1874103).

Almost surely, 2^57512672 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 57512672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67467708).

57512672 is an abundant number, since it is smaller than the sum of its proper divisors (77422744).

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

57512672 is a wasteful number, since it uses less digits than its factorization.

57512672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 905 counting only the distinct ones).

The product of its digits is 29400, while the sum is 35.

The square root of 57512672 is about 7583.7109649564. The cubic root of 57512672 is about 386.0004832338. Note that the first 3 decimals are identical.

The spelling of 57512672 in words is "fifty-seven million, five hundred twelve thousand, six hundred seventy-two".