8799072672 has 192 divisors, whose sum is σ = 26274568320. Its totient is φ = 2556002304.

The previous prime is 8799072647. The next prime is 8799072677. The reversal of 8799072672 is 2762709978.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (8799072677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10266868 + ... + 10267724.

It is an arithmetic number, because the mean of its divisors is an integer number (136846710).

Almost surely, 2^8799072672 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 8799072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137284160).

8799072672 is an abundant number, since it is smaller than the sum of its proper divisors (17475495648).

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

8799072672 is a wasteful number, since it uses less digits than its factorization.

8799072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 8799072672 is about 93803.3723914018. The cubic root of 8799072672 is about 2064.4877084975.

The spelling of 8799072672 in words is "eight billion, seven hundred ninety-nine million, seventy-two thousand, six hundred seventy-two".