72128425656 has 128 divisors (see below), whose sum is σ = 218290498560. Its totient is φ = 19388160000.

The previous prime is 72128425637. The next prime is 72128425657. The reversal of 72128425656 is 65652482127.

It is a super-2 number, since 2×72128425656² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72128425657) 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, 14137506 + ... + 14142606.

It is an arithmetic number, because the mean of its divisors is an integer number (1705394520).

Almost surely, 2^72128425656 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 72128425656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109145249280).

72128425656 is an abundant number, since it is smaller than the sum of its proper divisors (146162072904).

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

72128425656 is a wasteful number, since it uses less digits than its factorization.

72128425656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10081 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 72128425656 in words is "seventy-two billion, one hundred twenty-eight million, four hundred twenty-five thousand, six hundred fifty-six".