72982 has 16 divisors (see below), whose sum is σ = 135072. Its totient is φ = 28800.

The previous prime is 72977. The next prime is 72997. The reversal of 72982 is 28927.

It is a self number, because there is not a number n which added to its sum of digits gives 72982.

It is a congruent number.

It is an unprimeable number.

72982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (8442).

2⁷²⁹⁸² is an apocalyptic number.

72982 is a deficient number, since it is larger than the sum of its proper divisors (62090).

72982 is a wasteful number, since it uses less digits than its factorization.

72982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

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

The square root of 72982 is about 270.1518091740. The cubic root of 72982 is about 41.7899566081.

The spelling of 72982 in words is "seventy-two thousand, nine hundred eighty-two".