72881457656 has 64 divisors (see below), whose sum is σ = 165424420800. Its totient is φ = 29386340352.

The previous prime is 72881457643. The next prime is 72881457683. The reversal of 72881457656 is 65675418827.

It is a junction number, because it is equal to n+sod(n) for n = 72881457595 and 72881457604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2756210 + ... + 2782526.

It is an arithmetic number, because the mean of its divisors is an integer number (2584756575).

Almost surely, 2^72881457656 is an apocalyptic number.

It is an amenable number.

72881457656 is an abundant number, since it is smaller than the sum of its proper divisors (92542963144).

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

72881457656 is a wasteful number, since it uses less digits than its factorization.

72881457656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29256 (or 29252 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 59.

The spelling of 72881457656 in words is "seventy-two billion, eight hundred eighty-one million, four hundred fifty-seven thousand, six hundred fifty-six".