57085072 has 80 divisors (see below), whose sum is σ = 126277632. Its totient is φ = 24773760.

The previous prime is 57085033. The next prime is 57085073. The reversal of 57085072 is 27058075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57085073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554173 + ... + 554275.

Almost surely, 2^57085072 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 57085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63138816).

57085072 is an abundant number, since it is smaller than the sum of its proper divisors (69192560).

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

57085072 is a wasteful number, since it uses less digits than its factorization.

57085072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 57085072 is about 7555.4663654866. The cubic root of 57085072 is about 385.0414797609.

The spelling of 57085072 in words is "fifty-seven million, eighty-five thousand, seventy-two".