85732 has 6 divisors (see below), whose sum is σ = 150038. Its totient is φ = 42864.

The previous prime is 85717. The next prime is 85733. The reversal of 85732 is 23758.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 30976 = 234^2 + 176^2 .

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85697 and 85706.

It is not an unprimeable number, because it can be changed into a prime (85733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10713 + ... + 10720.

2⁸⁵⁷³² is an apocalyptic number.

It is an amenable number.

85732 is a deficient number, since it is larger than the sum of its proper divisors (64306).

85732 is a wasteful number, since it uses less digits than its factorization.

85732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21437 (or 21435 counting only the distinct ones).

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

The square root of 85732 is about 292.8002732239. The cubic root of 85732 is about 44.0941510095.

The spelling of 85732 in words is "eighty-five thousand, seven hundred thirty-two".