72607730832 has 320 divisors, whose sum is σ = 258543452160. Its totient is φ = 18997203456.

The previous prime is 72607730827. The next prime is 72607730873. The reversal of 72607730832 is 23803770627.

72607730832 is a `hidden beast` number, since 7 + 2 + 607 + 7 + 3 + 0 + 8 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4985353 + ... + 4999895.

It is an arithmetic number, because the mean of its divisors is an integer number (807948288).

Almost surely, 2^72607730832 is an apocalyptic number.

72607730832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72607730832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129271726080).

72607730832 is an abundant number, since it is smaller than the sum of its proper divisors (185935721328).

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

72607730832 is a wasteful number, since it uses less digits than its factorization.

72607730832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14707 (or 14695 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 72607730832 in words is "seventy-two billion, six hundred seven million, seven hundred thirty thousand, eight hundred thirty-two".