13057072 has 40 divisors (see below), whose sum is σ = 29326496. Its totient is φ = 5515776.

The previous prime is 13057069. The next prime is 13057081. The reversal of 13057072 is 27075031.

It is a zygodrome in base 2.

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 7 ways as a sum of consecutive naturals, for example, 7378 + ... + 8974.

Almost surely, 2^13057072 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 13057072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663248).

13057072 is an abundant number, since it is smaller than the sum of its proper divisors (16269424).

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

13057072 is a wasteful number, since it uses less digits than its factorization.

13057072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 13057072 is about 3613.4570704521. The cubic root of 13057072 is about 235.4770571603.

The spelling of 13057072 in words is "thirteen million, fifty-seven thousand, seventy-two".