72256238784 has 448 divisors, whose sum is σ = 229404672000. Its totient is φ = 22234383360.

The previous prime is 72256238773. The next prime is 72256238819. The reversal of 72256238784 is 48783265227.

72256238784 is a `hidden beast` number, since 7 + 2 + 2 + 5 + 623 + 8 + 7 + 8 + 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 72256238784.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324018897 + ... + 324019119.

It is an arithmetic number, because the mean of its divisors is an integer number (512064000).

Almost surely, 2^72256238784 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 72256238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114702336000).

72256238784 is an abundant number, since it is smaller than the sum of its proper divisors (157148433216).

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

72256238784 is a wasteful number, since it uses less digits than its factorization.

72256238784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 72256238784 in words is "seventy-two billion, two hundred fifty-six million, two hundred thirty-eight thousand, seven hundred eighty-four".