57785472 has 96 divisors (see below), whose sum is σ = 168242880. Its totient is φ = 19035648.

The previous prime is 57785467. The next prime is 57785473. The reversal of 57785472 is 27458775.

57785472 is a `hidden beast` number, since 577 + 8 + 5 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (57785473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118413 + ... + 118899.

It is an arithmetic number, because the mean of its divisors is an integer number (1752530).

Almost surely, 2^57785472 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 57785472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84121440).

57785472 is an abundant number, since it is smaller than the sum of its proper divisors (110457408).

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

57785472 is a wasteful number, since it uses less digits than its factorization.

57785472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 595 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 57785472 is about 7601.6756047598. The cubic root of 57785472 is about 386.6098264976.

The spelling of 57785472 in words is "fifty-seven million, seven hundred eighty-five thousand, four hundred seventy-two".