72592879104 has 120 divisors (see below), whose sum is σ = 217267890840. Its totient is φ = 24197584896.

The previous prime is 72592879019. The next prime is 72592879127. The reversal of 72592879104 is 40197829527.

72592879104 is a `hidden beast` number, since 7 + 259 + 287 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167319 + ... + 416150.

It is an arithmetic number, because the mean of its divisors is an integer number (1810565757).

Almost surely, 2^72592879104 is an apocalyptic number.

It is an amenable number.

72592879104 is an abundant number, since it is smaller than the sum of its proper divisors (144675011736).

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

72592879104 is an frugal number, since it uses more digits than its factorization.

72592879104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583502 (or 583474 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 72592879104 in words is "seventy-two billion, five hundred ninety-two million, eight hundred seventy-nine thousand, one hundred four".