72406610172 has 72 divisors (see below), whose sum is σ = 198287378016. Its totient is φ = 22145526144.

The previous prime is 72406610167. The next prime is 72406610173. The reversal of 72406610172 is 27101660427.

72406610172 is a `hidden beast` number, since 7 + 24 + 0 + 6 + 610 + 17 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406610173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385063 + ... + 541374.

Almost surely, 2^72406610172 is an apocalyptic number.

It is an amenable number.

72406610172 is an abundant number, since it is smaller than the sum of its proper divisors (125880767844).

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

72406610172 is a wasteful number, since it uses less digits than its factorization.

72406610172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926627 (or 926622 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72406610172 in words is "seventy-two billion, four hundred six million, six hundred ten thousand, one hundred seventy-two".