72576806544 has 640 divisors, whose sum is σ = 247201320960. Its totient is φ = 20163686400.

The previous prime is 72576806527. The next prime is 72576806551. The reversal of 72576806544 is 44560867527.

It is a happy number.

72576806544 is a `hidden beast` number, since 7 + 2 + 576 + 8 + 0 + 65 + 4 + 4 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529757644 + ... + 529757780.

It is an arithmetic number, because the mean of its divisors is an integer number (386252064).

Almost surely, 2^72576806544 is an apocalyptic number.

72576806544 is a gapful number since it is divisible by the number (74) 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 72576806544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123600660480).

72576806544 is an abundant number, since it is smaller than the sum of its proper divisors (174624514416).

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

72576806544 is a wasteful number, since it uses less digits than its factorization.

72576806544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 72576806544 in words is "seventy-two billion, five hundred seventy-six million, eight hundred six thousand, five hundred forty-four".