72579718848 has 504 divisors, whose sum is σ = 244175523840. Its totient is φ = 18962012160.

The previous prime is 72579718847. The next prime is 72579718853. The reversal of 72579718848 is 84881797527.

It is not an unprimeable number, because it can be changed into a prime (72579718847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303680713 + ... + 303680951.

Almost surely, 2^72579718848 is an apocalyptic number.

72579718848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72579718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122087761920).

72579718848 is an abundant number, since it is smaller than the sum of its proper divisors (171595804992).

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

72579718848 is a wasteful number, since it uses less digits than its factorization.

72579718848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 455 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 66.

The spelling of 72579718848 in words is "seventy-two billion, five hundred seventy-nine million, seven hundred eighteen thousand, eight hundred forty-eight".