72248825664 has 224 divisors, whose sum is σ = 224838768000. Its totient is φ = 22711062528.

The previous prime is 72248825659. The next prime is 72248825689. The reversal of 72248825664 is 46652884227.

72248825664 is a `hidden beast` number, since 72 + 2 + 4 + 8 + 8 + 2 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72248825664.

It is a congruent number.

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, 2138052 + ... + 2171580.

It is an arithmetic number, because the mean of its divisors is an integer number (1003744500).

Almost surely, 2^72248825664 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 72248825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112419384000).

72248825664 is an abundant number, since it is smaller than the sum of its proper divisors (152589942336).

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

72248825664 is a wasteful number, since it uses less digits than its factorization.

72248825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33622 (or 33606 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 72248825664 in words is "seventy-two billion, two hundred forty-eight million, eight hundred twenty-five thousand, six hundred sixty-four".