75330 has 48 divisors (see below), whose sum is σ = 209664. Its totient is φ = 19440.

The previous prime is 75329. The next prime is 75337. The reversal of 75330 is 3357.

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

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75330.

It is not an unprimeable number, because it can be changed into a prime (75337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415 + ... + 2445.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁷⁵³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

75330 is an abundant number, since it is smaller than the sum of its proper divisors (134334).

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

75330 is a wasteful number, since it uses less digits than its factorization.

75330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 75330 is about 274.4631122756. The cubic root of 75330 is about 42.2333944991.

Adding to 75330 its reverse (3357), we get a palindrome (78687).

The spelling of 75330 in words is "seventy-five thousand, three hundred thirty".