13027072 has 36 divisors (see below), whose sum is σ = 26253136. Its totient is φ = 6451200.

The previous prime is 13027067. The next prime is 13027087. The reversal of 13027072 is 27072031.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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, 38488 + ... + 38824.

Almost surely, 2^13027072 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 13027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126568).

13027072 is an abundant number, since it is smaller than the sum of its proper divisors (13226064).

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

13027072 is an equidigital number, since it uses as much as digits as its factorization.

13027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 13027072 is about 3609.3035339245. The cubic root of 13027072 is about 235.2965744057.

The spelling of 13027072 in words is "thirteen million, twenty-seven thousand, seventy-two".