13657072 has 80 divisors (see below), whose sum is σ = 31997952. Its totient is φ = 5564160.

The previous prime is 13657051. The next prime is 13657087. The reversal of 13657072 is 27075631.

It is a super-2 number, since 2×13657072² = 373031231226368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 107473 + ... + 107599.

Almost surely, 2^13657072 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 13657072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998976).

13657072 is an abundant number, since it is smaller than the sum of its proper divisors (18340880).

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

13657072 is a wasteful number, since it uses less digits than its factorization.

13657072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 13657072 is about 3695.5475913591. The cubic root of 13657072 is about 239.0300668860.

The spelling of 13657072 in words is "thirteen million, six hundred fifty-seven thousand, seventy-two".