72887064964560 has 2880 divisors, whose sum is σ = 332419331372544. Its totient is φ = 13897433088000.

The previous prime is 72887064964559. The next prime is 72887064964669. The reversal of 72887064964560 is 6546946078827.

72887064964560 is a `hidden beast` number, since 7 + 2 + 8 + 8 + 70 + 6 + 496 + 4 + 5 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 118131385372 + ... + 118131385988.

Almost surely, 2^{72887064964560} is an apocalyptic number.

72887064964560 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 72887064964560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166209665686272).

72887064964560 is an abundant number, since it is smaller than the sum of its proper divisors (259532266407984).

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

72887064964560 is a wasteful number, since it uses less digits than its factorization.

72887064964560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 72887064964560 in words is "seventy-two trillion, eight hundred eighty-seven billion, sixty-four million, nine hundred sixty-four thousand, five hundred sixty".