6732 has 36 divisors (see below), whose sum is σ = 19656. Its totient is φ = 1920.

The previous prime is 6719. The next prime is 6733. The reversal of 6732 is 2376.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 6² + 3⁸ + 7 + 2⁷ .

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (6733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2⁶⁷³² 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 6732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828).

6732 is an abundant number, since it is smaller than the sum of its proper divisors (12924).

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

6732 is a wasteful number, since it uses less digits than its factorization.

6732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 33 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 6732 is about 82.0487659871. The cubic root of 6732 is about 18.8820018465.

Subtracting from 6732 its reverse (2376), we obtain a square (4356 = 66²).

It can be divided in two parts, 67 and 32, that added together give a palindrome (99).

The spelling of 6732 in words is "six thousand, seven hundred thirty-two".