72113013 has 24 divisors (see below), whose sum is σ = 119994368. Its totient is φ = 40878432.

The previous prime is 72113003. The next prime is 72113029. The reversal of 72113013 is 31031127.

It is not a de Polignac number, because 72113013 - 2⁶ = 72112949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72113003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495 + ... + 12507.

Almost surely, 2^72113013 is an apocalyptic number.

It is an amenable number.

72113013 is a deficient number, since it is larger than the sum of its proper divisors (47881355).

72113013 is a wasteful number, since it uses less digits than its factorization.

72113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9153 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 72113013 is about 8491.9381180035. The cubic root of 72113013 is about 416.2343142643.

The spelling of 72113013 in words is "seventy-two million, one hundred thirteen thousand, thirteen".