72617579442 has 48 divisors (see below), whose sum is σ = 160144671960. Its totient is φ = 23775206400.

The previous prime is 72617579417. The next prime is 72617579443. The reversal of 72617579442 is 24497571627.

72617579442 is a `hidden beast` number, since 7 + 2 + 61 + 7 + 579 + 4 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52116780681 + 20500798761 = 228291^2 + 143181^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72617579443) 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, 731842 + ... + 825122.

Almost surely, 2^72617579442 is an apocalyptic number.

72617579442 is an abundant number, since it is smaller than the sum of its proper divisors (87527092518).

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

72617579442 is a wasteful number, since it uses less digits than its factorization.

72617579442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94059 (or 94056 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 72617579442 in words is "seventy-two billion, six hundred seventeen million, five hundred seventy-nine thousand, four hundred forty-two".