75509 has 12 divisors (see below), whose sum is σ = 93024. Its totient is φ = 60984.

The previous prime is 75503. The next prime is 75511. The reversal of 75509 is 90557.

It is not a de Polignac number, because 75509 - 2⁸ = 75253 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1094 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (7752).

2⁷⁵⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

75509 is a deficient number, since it is larger than the sum of its proper divisors (17515).

75509 is a wasteful number, since it uses less digits than its factorization.

75509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 75509 is about 274.7890099695. The cubic root of 75509 is about 42.2668198614.

The spelling of 75509 in words is "seventy-five thousand, five hundred nine".