13457972 has 48 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 5765760.

The previous prime is 13457971. The next prime is 13457987. The reversal of 13457972 is 27975431.

13457972 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 2×13457972² = 362234020705568, which contains 22 as substring.

Its product of digits (52920) is a multiple of the sum of its prime divisors (294).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67529 + ... + 67727.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 2^13457972 is an apocalyptic number.

It is an amenable number.

13457972 is an abundant number, since it is smaller than the sum of its proper divisors (13758028).

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

13457972 is a wasteful number, since it uses less digits than its factorization.

13457972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 13457972 is about 3668.5108695491. The cubic root of 13457972 is about 237.8628072628.

The spelling of 13457972 in words is "thirteen million, four hundred fifty-seven thousand, nine hundred seventy-two".