72580113 has 12 divisors (see below), whose sum is σ = 105534208. Its totient is φ = 48065400.

The previous prime is 72580103. The next prime is 72580121. The reversal of 72580113 is 31108527.

72580113 is a `hidden beast` number, since 72 + 580 + 1 + 13 = 666.

It is not a de Polignac number, because 72580113 - 2²¹ = 70482961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72580103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25345 + ... + 28062.

Almost surely, 2^72580113 is an apocalyptic number.

It is an amenable number.

72580113 is a deficient number, since it is larger than the sum of its proper divisors (32954095).

72580113 is a wasteful number, since it uses less digits than its factorization.

72580113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53564 (or 53561 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72580113 is about 8519.3962814275. The cubic root of 72580113 is about 417.1310769209.

The spelling of 72580113 in words is "seventy-two million, five hundred eighty thousand, one hundred thirteen".