10057072 has 20 divisors (see below), whose sum is σ = 20333520. Its totient is φ = 4809728.

The previous prime is 10057031. The next prime is 10057097. The reversal of 10057072 is 27075001.

10057072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10057072² = 202289394426368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13297 + ... + 14032.

It is an arithmetic number, because the mean of its divisors is an integer number (1016676).

Almost surely, 2^10057072 is an apocalyptic number.

It is an amenable number.

10057072 is an abundant number, since it is smaller than the sum of its proper divisors (10276448).

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

10057072 is a wasteful number, since it uses less digits than its factorization.

10057072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27360 (or 27354 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 10057072 is about 3171.2886970442. The cubic root of 10057072 is about 215.8525514045.

The spelling of 10057072 in words is "ten million, fifty-seven thousand, seventy-two".