72031617456 has 80 divisors (see below), whose sum is σ = 199968522624. Its totient is φ = 22260851712.

The previous prime is 72031617377. The next prime is 72031617481. The reversal of 72031617456 is 65471613027.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604090 + ... + 713433.

Almost surely, 2^72031617456 is an apocalyptic number.

It is an amenable number.

72031617456 is an abundant number, since it is smaller than the sum of its proper divisors (127936905168).

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

72031617456 is a wasteful number, since it uses less digits than its factorization.

72031617456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317618 (or 1317612 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 72031617456 in words is "seventy-two billion, thirty-one million, six hundred seventeen thousand, four hundred fifty-six".