80972 has 12 divisors (see below), whose sum is σ = 146496. Its totient is φ = 39120.

The previous prime is 80963. The next prime is 80989. The reversal of 80972 is 27908.

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, 203 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (12208).

2⁸⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

80972 is a deficient number, since it is larger than the sum of its proper divisors (65524).

80972 is a wasteful number, since it uses less digits than its factorization.

80972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

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

The square root of 80972 is about 284.5557941775. Note that the first 3 decimals coincide. The cubic root of 80972 is about 43.2625009806.

The spelling of 80972 in words is "eighty thousand, nine hundred seventy-two".