8007872 has 28 divisors (see below), whose sum is σ = 15992856. Its totient is φ = 3978240.

The previous prime is 8007871. The next prime is 8007917. The reversal of 8007872 is 2787008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (8007871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13208 + ... + 13800.

Almost surely, 2^8007872 is an apocalyptic number.

It is an amenable number.

8007872 is a deficient number, since it is larger than the sum of its proper divisors (7984984).

8007872 is a wasteful number, since it uses less digits than its factorization.

8007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 8007872 is about 2829.8183687297. The cubic root of 8007872 is about 200.0655784950.

The spelling of 8007872 in words is "eight million, seven thousand, eight hundred seventy-two".