72359964090 has 224 divisors, whose sum is σ = 202720896000. Its totient is φ = 18568154880.

The previous prime is 72359964049. The next prime is 72359964113. The reversal of 72359964090 is 9046995327.

72359964090 is a `hidden beast` number, since 7 + 2 + 3 + 599 + 6 + 40 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44971206 + ... + 44972814.

It is an arithmetic number, because the mean of its divisors is an integer number (905004000).

Almost surely, 2^72359964090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72359964090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101360448000).

72359964090 is an abundant number, since it is smaller than the sum of its proper divisors (130360931910).

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

72359964090 is a wasteful number, since it uses less digits than its factorization.

72359964090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 72359964090 in words is "seventy-two billion, three hundred fifty-nine million, nine hundred sixty-four thousand, ninety".