67732 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 27840.

The previous prime is 67723. The next prime is 67733. The reversal of 67732 is 23776.

It is a junction number, because it is equal to n+sod(n) for n = 67697 and 67706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119 + ... + 1177.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁶⁷⁷³² 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 67732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

67732 is an abundant number, since it is smaller than the sum of its proper divisors (73388).

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

67732 is a wasteful number, since it uses less digits than its factorization.

67732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its digits is 1764, while the sum is 25.

The square root of 67732 is about 260.2537223557. The cubic root of 67732 is about 40.7628586768.

Adding to 67732 its product of digits (1764), we get a palindrome (69496).

Subtracting from 67732 its reverse (23776), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 67732 in words is "sixty-seven thousand, seven hundred thirty-two".