72957264896 has 88 divisors (see below), whose sum is σ = 148509178584. Its totient is φ = 35814113280.

The previous prime is 72957264883. The next prime is 72957264907. The reversal of 72957264896 is 69846275927.

It can be written as a sum of positive squares in 4 ways, for example, as 1133264896 + 71824000000 = 33664^2 + 268000^2 .

It is a super-2 number, since 2×72957264896² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63275456 + ... + 63276608.

Almost surely, 2^72957264896 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 72957264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74254589292).

72957264896 is an abundant number, since it is smaller than the sum of its proper divisors (75551913688).

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

72957264896 is a wasteful number, since it uses less digits than its factorization.

72957264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2229 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 65.

The spelling of 72957264896 in words is "seventy-two billion, nine hundred fifty-seven million, two hundred sixty-four thousand, eight hundred ninety-six".