72791239680 has 220 divisors, whose sum is σ = 260844133440. Its totient is φ = 19410886656.

The previous prime is 72791239679. The next prime is 72791239691. The reversal of 72791239680 is 8693219727.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326961 + ... + 502479.

It is an arithmetic number, because the mean of its divisors is an integer number (1185655152).

Almost surely, 2^72791239680 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 72791239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130422066720).

72791239680 is an abundant number, since it is smaller than the sum of its proper divisors (188052893760).

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

72791239680 is a wasteful number, since it uses less digits than its factorization.

72791239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175556 (or 175529 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 72791239680 in words is "seventy-two billion, seven hundred ninety-one million, two hundred thirty-nine thousand, six hundred eighty".