13072593 has 16 divisors (see below), whose sum is σ = 17781120. Its totient is φ = 8541696.

The previous prime is 13072561. The next prime is 13072601. The reversal of 13072593 is 39527031.

It is not a de Polignac number, because 13072593 - 2⁵ = 13072561 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13072593.

It is not an unprimeable number, because it can be changed into a prime (13072093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48463 + ... + 48731.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^13072593 is an apocalyptic number.

It is an amenable number.

13072593 is a deficient number, since it is larger than the sum of its proper divisors (4708527).

13072593 is a wasteful number, since it uses less digits than its factorization.

13072593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13072593 is about 3615.6040989024. The cubic root of 13072593 is about 235.5703244254.

The spelling of 13072593 in words is "thirteen million, seventy-two thousand, five hundred ninety-three".