72580431105 has 160 divisors (see below), whose sum is σ = 160437032448. Its totient is φ = 30569011200.

The previous prime is 72580431089. The next prime is 72580431107. The reversal of 72580431105 is 50113408527.

72580431105 is a `hidden beast` number, since 72 + 58 + 0 + 431 + 105 = 666.

It is not a de Polignac number, because 72580431105 - 2⁴ = 72580431089 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72580431105.

It is not an unprimeable number, because it can be changed into a prime (72580431107) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23253945 + ... + 23257065.

Almost surely, 2^72580431105 is an apocalyptic number.

It is an amenable number.

72580431105 is an abundant number, since it is smaller than the sum of its proper divisors (87856601343).

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

72580431105 is a wasteful number, since it uses less digits than its factorization.

72580431105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 72580431105 in words is "seventy-two billion, five hundred eighty million, four hundred thirty-one thousand, one hundred five".