75609 has 12 divisors (see below), whose sum is σ = 113152. Its totient is φ = 48600.

The previous prime is 75583. The next prime is 75611. The reversal of 75609 is 90657.

It is not a de Polignac number, because 75609 - 2⁵ = 75577 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75609.

It is not an unprimeable number, because it can be changed into a prime (75619) 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, 144 + ... + 414.

2⁷⁵⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

75609 is a deficient number, since it is larger than the sum of its proper divisors (37543).

75609 is a wasteful number, since it uses less digits than its factorization.

75609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 75609 is about 274.9709075521. The cubic root of 75609 is about 42.2854702541.

It can be divided in two parts, 7560 and 9, that added together give a square (7569 = 87²).

The spelling of 75609 in words is "seventy-five thousand, six hundred nine".