67332 has 24 divisors (see below), whose sum is σ = 163072. Its totient is φ = 21600.

The previous prime is 67307. The next prime is 67339. The reversal of 67332 is 23376.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67299 and 67308.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67332.

It is not an unprimeable number, because it can be changed into a prime (67339) by changing a digit.

67332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 282 + ... + 462.

2⁶⁷³³² is an apocalyptic number.

67332 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

67332 is an abundant number, since it is smaller than the sum of its proper divisors (95740).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81536).

67332 is a wasteful number, since it uses less digits than its factorization.

67332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 67332 is about 259.4841035594. The cubic root of 67332 is about 40.6824567665.

Subtracting from 67332 its reverse (23376), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 67332 in words is "sixty-seven thousand, three hundred thirty-two".