82672 has 10 divisors (see below), whose sum is σ = 160208. Its totient is φ = 41328.

The previous prime is 82657. The next prime is 82699. The reversal of 82672 is 27628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2568 + ... + 2599.

2⁸²⁶⁷² is an apocalyptic number.

It is an amenable number.

82672 is a deficient number, since it is larger than the sum of its proper divisors (77536).

82672 is a wasteful number, since it uses less digits than its factorization.

82672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5169 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 82672 is about 287.5273899996. The cubic root of 82672 is about 43.5631706493.

It can be divided in two parts, 826 and 72, that added together give a palindrome (898).

The spelling of 82672 in words is "eighty-two thousand, six hundred seventy-two".