82272 has 24 divisors (see below), whose sum is σ = 216216. Its totient is φ = 27392.

The previous prime is 82267. The next prime is 82279. The reversal of 82272 is 27228.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82279) by changing a digit.

82272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 333 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2⁸²²⁷² is an apocalyptic number.

It is an amenable number.

82272 is an abundant number, since it is smaller than the sum of its proper divisors (133944).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108).

82272 is a wasteful number, since it uses less digits than its factorization.

82272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 82272 is about 286.8309606720. The cubic root of 82272 is about 43.4927983850.

The spelling of 82272 in words is "eighty-two thousand, two hundred seventy-two".