72869512320 has 768 divisors, whose sum is σ = 283379990400. Its totient is φ = 17104896000.

The previous prime is 72869512319. The next prime is 72869512381. The reversal of 72869512320 is 2321596827.

72869512320 is a `hidden beast` number, since 72 + 8 + 69 + 512 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377562144 + ... + 377562336.

Almost surely, 2^72869512320 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 72869512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141689995200).

72869512320 is an abundant number, since it is smaller than the sum of its proper divisors (210510478080).

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

72869512320 is a wasteful number, since it uses less digits than its factorization.

72869512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72869512320 in words is "seventy-two billion, eight hundred sixty-nine million, five hundred twelve thousand, three hundred twenty".