72917546472960 has 3840 divisors, whose sum is σ = 312939901992960. Its totient is φ = 14134506946560.

The previous prime is 72917546472923. The next prime is 72917546472977. The reversal of 72917546472960 is 6927464571927.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×72917546472960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 556622492095 + ... + 556622492225.

It is an arithmetic number, because the mean of its divisors is an integer number (81494766144).

Almost surely, 2^{72917546472960} is an apocalyptic number.

72917546472960 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 72917546472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156469950996480).

72917546472960 is an abundant number, since it is smaller than the sum of its proper divisors (240022355520000).

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

72917546472960 is a wasteful number, since it uses less digits than its factorization.

72917546472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 69.

The spelling of 72917546472960 in words is "seventy-two trillion, nine hundred seventeen billion, five hundred forty-six million, four hundred seventy-two thousand, nine hundred sixty".