8172992256 has 144 divisors (see below), whose sum is σ = 25555232640. Its totient is φ = 2286120960.

The previous prime is 8172992249. The next prime is 8172992263. The reversal of 8172992256 is 6522992718.

It is an interprime number because it is at equal distance from previous prime (8172992249) and next prime (8172992263).

It is a junction number, because it is equal to n+sod(n) for n = 8172992199 and 8172992208.

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, 72615 + ... + 147033.

Almost surely, 2^8172992256 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 8172992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777616320).

8172992256 is an abundant number, since it is smaller than the sum of its proper divisors (17382240384).

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

8172992256 is a wasteful number, since it uses less digits than its factorization.

8172992256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74462 (or 74448 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 8172992256 is about 90404.6030686491. The cubic root of 8172992256 is about 2014.3133411000.

The spelling of 8172992256 in words is "eight billion, one hundred seventy-two million, nine hundred ninety-two thousand, two hundred fifty-six".