72085601924 has 24 divisors (see below), whose sum is σ = 145908211008. Its totient is φ = 30521613600.

The previous prime is 72085601923. The next prime is 72085601957. The reversal of 72085601924 is 42910658027.

It is a happy number.

It is a Smith number, since the sum of its digits (44) 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 (72085601923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15506627 + ... + 15511274.

It is an arithmetic number, because the mean of its divisors is an integer number (6079508792).

Almost surely, 2^72085601924 is an apocalyptic number.

It is an amenable number.

72085601924 is an abundant number, since it is smaller than the sum of its proper divisors (73822609084).

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

72085601924 is a wasteful number, since it uses less digits than its factorization.

72085601924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31017995 (or 31017993 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 72085601924 in words is "seventy-two billion, eighty-five million, six hundred one thousand, nine hundred twenty-four".