72555488004096 has 192 divisors, whose sum is σ = 217013422953600. Its totient is φ = 23950353383424.

The previous prime is 72555488004029. The next prime is 72555488004211. The reversal of 72555488004096 is 69040088455527.

72555488004096 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 548 + 80 + 0 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 674071 + ... + 12065046.

It is an arithmetic number, because the mean of its divisors is an integer number (1130278244550).

Almost surely, 2^{72555488004096} 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 72555488004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108506711476800).

72555488004096 is an abundant number, since it is smaller than the sum of its proper divisors (144457934949504).

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

72555488004096 is a wasteful number, since it uses less digits than its factorization.

72555488004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12739251 (or 12739225 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 72555488004096 in words is "seventy-two trillion, five hundred fifty-five billion, four hundred eighty-eight million, four thousand, ninety-six".