72804559756032 has 864 divisors, whose sum is σ = 244625675374080. Its totient is φ = 20636015984640.

The previous prime is 72804559756031. The next prime is 72804559756121. The reversal of 72804559756032 is 23065795540827.

72804559756032 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 4 + 5 + 597 + 5 + 6 + 0 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (72804559756031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2949570763 + ... + 2949595445.

It is an arithmetic number, because the mean of its divisors is an integer number (283131568720).

Almost surely, 2^{72804559756032} is an apocalyptic number.

72804559756032 is a gapful number since it is divisible by the number (72) 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 72804559756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122312837687040).

72804559756032 is an abundant number, since it is smaller than the sum of its proper divisors (171821115618048).

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

72804559756032 is a wasteful number, since it uses less digits than its factorization.

72804559756032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24881 (or 24864 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 72804559756032 in words is "seventy-two trillion, eight hundred four billion, five hundred fifty-nine million, seven hundred fifty-six thousand, thirty-two".