82572 has 24 divisors (see below), whose sum is σ = 220416. Its totient is φ = 23568.

The previous prime is 82571. The next prime is 82591. The reversal of 82572 is 27528.

It is a d-powerful number, because it can be written as 8 + 2¹¹ + 5⁷ + 7³ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (9184).

2⁸²⁵⁷² is an apocalyptic number.

It is an amenable number.

82572 is an abundant number, since it is smaller than the sum of its proper divisors (137844).

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 (110208).

82572 is a wasteful number, since it uses less digits than its factorization.

82572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 82572 is about 287.3534409051. The cubic root of 82572 is about 43.5455989011.

The spelling of 82572 in words is "eighty-two thousand, five hundred seventy-two".