72104013 has 20 divisors (see below), whose sum is σ = 109484188. Its totient is φ = 47278080.

The previous prime is 72103981. The next prime is 72104023. The reversal of 72104013 is 31040127.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 68112009 = 1998^2 + 8253^2 .

It is not a de Polignac number, because 72104013 - 2⁵ = 72103981 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 (72104023) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2356 + ... + 12237.

Almost surely, 2^72104013 is an apocalyptic number.

It is an amenable number.

72104013 is a deficient number, since it is larger than the sum of its proper divisors (37380175).

72104013 is a wasteful number, since it uses less digits than its factorization.

72104013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72104013 is about 8491.4081871030. The cubic root of 72104013 is about 416.2169976270.

The spelling of 72104013 in words is "seventy-two million, one hundred four thousand, thirteen".