82072 has 8 divisors (see below), whose sum is σ = 153900. Its totient is φ = 41032.

The previous prime is 82067. The next prime is 82073. The reversal of 82072 is 27028.

82072 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82073) by changing a digit.

82072 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 as a sum of consecutive naturals, namely, 5122 + ... + 5137.

2⁸²⁰⁷² is an apocalyptic number.

It is an amenable number.

82072 is a deficient number, since it is larger than the sum of its proper divisors (71828).

82072 is a wasteful number, since it uses less digits than its factorization.

82072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10261 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 82072 is about 286.4821111344. The cubic root of 82072 is about 43.4575266934.

It can be divided in two parts, 8 and 2072, that added together give a triangular number (2080 = T₆₄).

The spelling of 82072 in words is "eighty-two thousand, seventy-two".