72559742976 has 520 divisors, whose sum is σ = 250552860800. Its totient is φ = 20495794176.

The previous prime is 72559742971. The next prime is 72559742999. The reversal of 72559742976 is 67924795527.

72559742976 is a `hidden beast` number, since 7 + 2 + 55 + 97 + 429 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559742971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 364621725 + ... + 364621923.

Almost surely, 2^72559742976 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 72559742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125276430400).

72559742976 is an abundant number, since it is smaller than the sum of its proper divisors (177993117824).

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

72559742976 is a wasteful number, since it uses less digits than its factorization.

72559742976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 368 counting only the distinct ones).

The product of its digits is 66679200, while the sum is 63.

The spelling of 72559742976 in words is "seventy-two billion, five hundred fifty-nine million, seven hundred forty-two thousand, nine hundred seventy-six".