73332 has 48 divisors (see below), whose sum is σ = 219520. Its totient is φ = 20736.

The previous prime is 73331. The next prime is 73351. The reversal of 73332 is 23337.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708 + ... + 804.

2⁷³³³² 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 73332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109760).

73332 is an abundant number, since it is smaller than the sum of its proper divisors (146188).

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

73332 is a wasteful number, since it uses less digits than its factorization.

73332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its digits is 378, while the sum is 18.

The square root of 73332 is about 270.7988183135. The cubic root of 73332 is about 41.8566541750.

Adding to 73332 its reverse (23337), we get a palindrome (96669).

The spelling of 73332 in words is "seventy-three thousand, three hundred thirty-two".