75717 has 12 divisors (see below), whose sum is σ = 112320. Its totient is φ = 49128.

The previous prime is 75709. The next prime is 75721. The reversal of 75717 is 71757.

It is not a de Polignac number, because 75717 - 2³ = 75709 is a prime.

75717 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75707) 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, 334 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁷⁵⁷¹⁷ is an apocalyptic number.

It is an amenable number.

75717 is a deficient number, since it is larger than the sum of its proper divisors (36603).

75717 is a wasteful number, since it uses less digits than its factorization.

75717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 229 counting only the distinct ones).

The product of its digits is 1715, while the sum is 27.

The square root of 75717 is about 275.1672218852. The cubic root of 75717 is about 42.3055942168.

The spelling of 75717 in words is "seventy-five thousand, seven hundred seventeen".