72251815552 has 96 divisors (see below), whose sum is σ = 167698027620. Its totient is φ = 30917246976.

The previous prime is 72251815547. The next prime is 72251815553. The reversal of 72251815552 is 25551815227.

It can be written as a sum of positive squares in 2 ways, for example, as 57742167616 + 14509647936 = 240296^2 + 120456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72251815499 and 72251815508.

It is not an unprimeable number, because it can be changed into a prime (72251815553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4212498 + ... + 4229614.

Almost surely, 2^72251815552 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 72251815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83849013810).

72251815552 is an abundant number, since it is smaller than the sum of its proper divisors (95446212068).

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

72251815552 is a wasteful number, since it uses less digits than its factorization.

72251815552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17818 (or 17799 counting only the distinct ones).

The product of its digits is 280000, while the sum is 43.

The spelling of 72251815552 in words is "seventy-two billion, two hundred fifty-one million, eight hundred fifteen thousand, five hundred fifty-two".