8007672 has 64 divisors (see below), whose sum is σ = 21196800. Its totient is φ = 2517120.

The previous prime is 8007667. The next prime is 8007673. The reversal of 8007672 is 2767008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34854 + ... + 35082.

It is an arithmetic number, because the mean of its divisors is an integer number (331200).

Almost surely, 2^8007672 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 8007672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598400).

8007672 is an abundant number, since it is smaller than the sum of its proper divisors (13189128).

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

8007672 is a wasteful number, since it uses less digits than its factorization.

8007672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 8007672 is about 2829.7830305520. The cubic root of 8007672 is about 200.0639129069.

The spelling of 8007672 in words is "eight million, seven thousand, six hundred seventy-two".