8000872 has 64 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 3368640.

The previous prime is 8000869. The next prime is 8000879. The reversal of 8000872 is 2780008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119383 + ... + 119449.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^8000872 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 8000872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

8000872 is an abundant number, since it is smaller than the sum of its proper divisors (9624728).

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

8000872 is a wasteful number, since it uses less digits than its factorization.

8000872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 8000872 is about 2828.5812698241. The cubic root of 8000872 is about 200.0072664027.

The spelling of 8000872 in words is "eight million, eight hundred seventy-two", and thus it is an aban number.