13457872 has 20 divisors (see below), whose sum is σ = 26195620. Its totient is φ = 6697728.

The previous prime is 13457849. The next prime is 13457879. The reversal of 13457872 is 27875431.

13457872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6677056 + 6780816 = 2584^2 + 2604^2 .

It is a super-2 number, since 2×13457872² = 362228637536768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1828 + ... + 5500.

It is an arithmetic number, because the mean of its divisors is an integer number (1309781).

Almost surely, 2^13457872 is an apocalyptic number.

It is an amenable number.

13457872 is a deficient number, since it is larger than the sum of its proper divisors (12737748).

13457872 is a wasteful number, since it uses less digits than its factorization.

13457872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3904 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 13457872 is about 3668.4972400153. The cubic root of 13457872 is about 237.8622181116.

The spelling of 13457872 in words is "thirteen million, four hundred fifty-seven thousand, eight hundred seventy-two".