32724 has 30 divisors (see below), whose sum is σ = 86394. Its totient is φ = 10800.

The previous prime is 32719. The next prime is 32749. The reversal of 32724 is 42723.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 324 = 180^2 + 18^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 32697 and 32706.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 274 + ... + 374.

2³²⁷²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43197).

32724 is an abundant number, since it is smaller than the sum of its proper divisors (53670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32724 is a wasteful number, since it uses less digits than its factorization.

32724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 32724 is about 180.8977611802. The cubic root of 32724 is about 31.9856706677.

Subtracting 32724 from its reverse (42723), we obtain a palindrome (9999).

It can be divided in two parts, 327 and 24, that added together give a triangular number (351 = T₂₆).

The spelling of 32724 in words is "thirty-two thousand, seven hundred twenty-four".