75306 has 32 divisors (see below), whose sum is σ = 188928. Its totient is φ = 19440.

The previous prime is 75289. The next prime is 75307. The reversal of 75306 is 60357.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75306.

It is not an unprimeable number, because it can be changed into a prime (75307) by changing a digit.

75306 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 15 ways as a sum of consecutive naturals, for example, 381 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (5904).

2⁷⁵³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94464).

75306 is an abundant number, since it is smaller than the sum of its proper divisors (113622).

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

75306 is a wasteful number, since it uses less digits than its factorization.

75306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 75306 is about 274.4193870702. The cubic root of 75306 is about 42.2289088620.

The spelling of 75306 in words is "seventy-five thousand, three hundred six".