72399591936 has 640 divisors, whose sum is σ = 255909096960. Its totient is φ = 19779158016.

The previous prime is 72399591911. The next prime is 72399592019. The reversal of 72399591936 is 63919599327.

72399591936 is a `hidden beast` number, since 7 + 2 + 3 + 9 + 9 + 591 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 261370230 + ... + 261370506.

It is an arithmetic number, because the mean of its divisors is an integer number (399857964).

Almost surely, 2^72399591936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72399591936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127954548480).

72399591936 is an abundant number, since it is smaller than the sum of its proper divisors (183509505024).

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

72399591936 is a wasteful number, since it uses less digits than its factorization.

72399591936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 399 counting only the distinct ones).

The product of its digits is 24800580, while the sum is 63.

The spelling of 72399591936 in words is "seventy-two billion, three hundred ninety-nine million, five hundred ninety-one thousand, nine hundred thirty-six".