75303 has 8 divisors (see below), whose sum is σ = 111600. Its totient is φ = 50184.

The previous prime is 75289. The next prime is 75307. The reversal of 75303 is 30357.

It is not a de Polignac number, because 75303 - 2⁶ = 75239 is a prime.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75303.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1368 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2⁷⁵³⁰³ is an apocalyptic number.

75303 is a deficient number, since it is larger than the sum of its proper divisors (36297).

75303 is a wasteful number, since it uses less digits than its factorization.

75303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2792 counting only the distinct ones).

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

The square root of 75303 is about 274.4139209297. The cubic root of 75303 is about 42.2283480904.

It can be divided in two parts, 75 and 303, that added together give a triangular number (378 = T₂₇).

The spelling of 75303 in words is "seventy-five thousand, three hundred three".