72953123264 has 112 divisors (see below), whose sum is σ = 178907553792. Its totient is φ = 28800233472.

The previous prime is 72953123171. The next prime is 72953123279. The reversal of 72953123264 is 46232135927.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256049 + ... + 459855.

Almost surely, 2^72953123264 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 72953123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89453776896).

72953123264 is an abundant number, since it is smaller than the sum of its proper divisors (105954430528).

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

72953123264 is a wasteful number, since it uses less digits than its factorization.

72953123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203890 (or 203880 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The spelling of 72953123264 in words is "seventy-two billion, nine hundred fifty-three million, one hundred twenty-three thousand, two hundred sixty-four".