72795457460 has 96 divisors (see below), whose sum is σ = 167621432832. Its totient is φ = 26335969920.

The previous prime is 72795457409. The next prime is 72795457477. The reversal of 72795457460 is 6475459727.

It is a junction number, because it is equal to n+sod(n) for n = 72795457396 and 72795457405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49085879 + ... + 49087361.

It is an arithmetic number, because the mean of its divisors is an integer number (1746056592).

Almost surely, 2^72795457460 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 72795457460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83810716416).

72795457460 is an abundant number, since it is smaller than the sum of its proper divisors (94825975372).

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

72795457460 is a wasteful number, since it uses less digits than its factorization.

72795457460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 56.

The spelling of 72795457460 in words is "seventy-two billion, seven hundred ninety-five million, four hundred fifty-seven thousand, four hundred sixty".