13007072 has 24 divisors (see below), whose sum is σ = 27578376. Its totient is φ = 6003072.

The previous prime is 13007069. The next prime is 13007087. The reversal of 13007072 is 27070031.

It is a zygodrome in base 2.

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 3 ways as a sum of consecutive naturals, for example, 15218 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (1149099).

Almost surely, 2^13007072 is an apocalyptic number.

It is an amenable number.

13007072 is an abundant number, since it is smaller than the sum of its proper divisors (14571304).

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

13007072 is a wasteful number, since it uses less digits than its factorization.

13007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31290 (or 31282 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 13007072 is about 3606.5318520706. The cubic root of 13007072 is about 235.1760985785.

The spelling of 13007072 in words is "thirteen million, seven thousand, seventy-two".