13075972 has 24 divisors (see below), whose sum is σ = 28164416. Its totient is φ = 5172768.

The previous prime is 13075949. The next prime is 13075973. The reversal of 13075972 is 27957031.

13075972 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13075973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17598 + ... + 18325.

Almost surely, 2^13075972 is an apocalyptic number.

It is an amenable number.

13075972 is an abundant number, since it is smaller than the sum of its proper divisors (15088444).

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

13075972 is a wasteful number, since it uses less digits than its factorization.

13075972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35947 (or 35945 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 13075972 is about 3616.0713488536. The cubic root of 13075972 is about 235.5906193930.

The spelling of 13075972 in words is "thirteen million, seventy-five thousand, nine hundred seventy-two".