72853721648 has 80 divisors (see below), whose sum is σ = 149055638400. Its totient is φ = 34453490688.

The previous prime is 72853721627. The next prime is 72853721693. The reversal of 72853721648 is 84612735827.

It is a self number, because there is not a number n which added to its sum of digits gives 72853721648.

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, 4136990 + ... + 4154562.

It is an arithmetic number, because the mean of its divisors is an integer number (1863195480).

Almost surely, 2^72853721648 is an apocalyptic number.

It is an amenable number.

72853721648 is an abundant number, since it is smaller than the sum of its proper divisors (76201916752).

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

72853721648 is a wasteful number, since it uses less digits than its factorization.

72853721648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17814 (or 17808 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 53.

The spelling of 72853721648 in words is "seventy-two billion, eight hundred fifty-three million, seven hundred twenty-one thousand, six hundred forty-eight".