8005672 has 16 divisors (see below), whose sum is σ = 15127200. Its totient is φ = 3971760.

The previous prime is 8005667. The next prime is 8005681. The reversal of 8005672 is 2765008.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 8005672.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2772 + ... + 4867.

It is an arithmetic number, because the mean of its divisors is an integer number (945450).

Almost surely, 2^8005672 is an apocalyptic number.

It is an amenable number.

8005672 is a deficient number, since it is larger than the sum of its proper divisors (7121528).

8005672 is a wasteful number, since it uses less digits than its factorization.

8005672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7772 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 8005672 is about 2829.4296245003. The cubic root of 8005672 is about 200.0472555004.

The spelling of 8005672 in words is "eight million, five thousand, six hundred seventy-two".