72431364096 has 864 divisors, whose sum is σ = 271881792000. Its totient is φ = 18393661440.

The previous prime is 72431364067. The next prime is 72431364191. The reversal of 72431364096 is 69046313427.

72431364096 is a `hidden beast` number, since 72 + 43 + 136 + 409 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 363976605 + ... + 363976803.

It is an arithmetic number, because the mean of its divisors is an integer number (314678000).

Almost surely, 2^72431364096 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 72431364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940896000).

72431364096 is an abundant number, since it is smaller than the sum of its proper divisors (199450427904).

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

72431364096 is a wasteful number, since it uses less digits than its factorization.

72431364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 72431364096 in words is "seventy-two billion, four hundred thirty-one million, three hundred sixty-four thousand, ninety-six".