8000972 has 12 divisors (see below), whose sum is σ = 16002000. Its totient is φ = 3428976.

The previous prime is 8000963. The next prime is 8000977. The reversal of 8000972 is 2790008.

8000972 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (8000977) 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, 142847 + ... + 142902.

It is an arithmetic number, because the mean of its divisors is an integer number (1333500).

Almost surely, 2^8000972 is an apocalyptic number.

It is an amenable number.

8000972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

8000972 is a wasteful number, since it uses less digits than its factorization.

8000972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285760 (or 285758 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 8000972 is about 2828.5989464751. The cubic root of 8000972 is about 200.0080996720.

The spelling of 8000972 in words is "eight million, nine hundred seventy-two", and thus it is an aban number.