72775046960 has 240 divisors, whose sum is σ = 221650670592. Its totient is φ = 21951014400.

The previous prime is 72775046947. The next prime is 72775047011. The reversal of 72775046960 is 6964057727.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309499 + ... + 1363941.

Almost surely, 2^72775046960 is an apocalyptic number.

72775046960 is a gapful number since it is divisible by the number (70) 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 72775046960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110825335296).

72775046960 is an abundant number, since it is smaller than the sum of its proper divisors (148875623632).

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

72775046960 is a wasteful number, since it uses less digits than its factorization.

72775046960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54512 (or 54499 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 72775046960 in words is "seventy-two billion, seven hundred seventy-five million, forty-six thousand, nine hundred sixty".