72330 has 16 divisors (see below), whose sum is σ = 173664. Its totient is φ = 19280.

The previous prime is 72313. The next prime is 72337. The reversal of 72330 is 3327.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72337) by changing a digit.

72330 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (10854).

2⁷²³³⁰ is an apocalyptic number.

72330 is an abundant number, since it is smaller than the sum of its proper divisors (101334).

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 (86832).

72330 is a wasteful number, since it uses less digits than its factorization.

72330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421.

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 72330 is about 268.9423730095. The cubic root of 72330 is about 41.6651377217.

Adding to 72330 its reverse (3327), we get a palindrome (75657).

The spelling of 72330 in words is "seventy-two thousand, three hundred thirty".