72881485656 has 128 divisors (see below), whose sum is σ = 211507200000. Its totient is φ = 20496339072.

The previous prime is 72881485601. The next prime is 72881485657. The reversal of 72881485656 is 65658418827.

It is a self number, because there is not a number n which added to its sum of digits gives 72881485656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72881485657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27001795 + ... + 27004493.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400000).

Almost surely, 2^72881485656 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 72881485656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600000).

72881485656 is an abundant number, since it is smaller than the sum of its proper divisors (138625714344).

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

72881485656 is a wasteful number, since it uses less digits than its factorization.

72881485656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5177 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 60.

The spelling of 72881485656 in words is "seventy-two billion, eight hundred eighty-one million, four hundred eighty-five thousand, six hundred fifty-six".