83572 has 12 divisors (see below), whose sum is σ = 154980. Its totient is φ = 39296.

The previous prime is 83563. The next prime is 83579. The reversal of 83572 is 27538.

83572 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 7396 = 276^2 + 86^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83579) by changing a digit.

83572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547 + ... + 682.

It is an arithmetic number, because the mean of its divisors is an integer number (12915).

2⁸³⁵⁷² is an apocalyptic number.

It is an amenable number.

83572 is a deficient number, since it is larger than the sum of its proper divisors (71408).

83572 is a wasteful number, since it uses less digits than its factorization.

83572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1248 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 83572 is about 289.0882218286. The cubic root of 83572 is about 43.7206823990.

The spelling of 83572 in words is "eighty-three thousand, five hundred seventy-two".