72086583048896 has 224 divisors, whose sum is σ = 168216232934400. Its totient is φ = 30361594798080.

The previous prime is 72086583048889. The next prime is 72086583048929. The reversal of 72086583048896 is 69884038568027.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50498171 + ... + 51906053.

It is an arithmetic number, because the mean of its divisors is an integer number (750965325600).

Almost surely, 2^{72086583048896} is an apocalyptic number.

72086583048896 is a gapful number since it is divisible by the number (76) 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 72086583048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84108116467200).

72086583048896 is an abundant number, since it is smaller than the sum of its proper divisors (96129649885504).

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

72086583048896 is a wasteful number, since it uses less digits than its factorization.

72086583048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408047 (or 1408037 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 74.

The spelling of 72086583048896 in words is "seventy-two trillion, eighty-six billion, five hundred eighty-three million, forty-eight thousand, eight hundred ninety-six".