72566738244 has 768 divisors, whose sum is σ = 265892659200. Its totient is φ = 16506892800.

The previous prime is 72566738243. The next prime is 72566738249. The reversal of 72566738244 is 44283766527.

72566738244 is a `hidden beast` number, since 7 + 2 + 566 + 7 + 38 + 2 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72566738243) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 197729349 + ... + 197729715.

It is an arithmetic number, because the mean of its divisors is an integer number (346214400).

Almost surely, 2^72566738244 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 72566738244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132946329600).

72566738244 is an abundant number, since it is smaller than the sum of its proper divisors (193325920956).

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

72566738244 is a wasteful number, since it uses less digits than its factorization.

72566738244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 493 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 72566738244 in words is "seventy-two billion, five hundred sixty-six million, seven hundred thirty-eight thousand, two hundred forty-four".