8002972 has 12 divisors (see below), whose sum is σ = 14303520. Its totient is φ = 3916256.

The previous prime is 8002961. The next prime is 8002987. The reversal of 8002972 is 2792008.

It is a self number, because there is not a number n which added to its sum of digits gives 8002972.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21097 + ... + 21472.

It is an arithmetic number, because the mean of its divisors is an integer number (1191960).

Almost surely, 2^8002972 is an apocalyptic number.

It is an amenable number.

8002972 is a deficient number, since it is larger than the sum of its proper divisors (6300548).

8002972 is a wasteful number, since it uses less digits than its factorization.

8002972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42620 (or 42618 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 8002972 is about 2828.9524562990. The cubic root of 8002972 is about 200.0247636004.

The spelling of 8002972 in words is "eight million, two thousand, nine hundred seventy-two".