71759 has 4 divisors (see below), whose sum is σ = 72816. Its totient is φ = 70704.

The previous prime is 71741. The next prime is 71761. The reversal of 71759 is 95717.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 71759 - 2⁸ = 71503 is a prime.

It is a Duffinian 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 71759.

It is not an unprimeable number, because it can be changed into a prime (71719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (18204).

2⁷¹⁷⁵⁹ is an apocalyptic number.

71759 is a deficient number, since it is larger than the sum of its proper divisors (1057).

71759 is an equidigital number, since it uses as much as digits as its factorization.

71759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056.

The product of its digits is 2205, while the sum is 29.

The square root of 71759 is about 267.8787038941. The cubic root of 71759 is about 41.5552078902. Note that the first 3 decimals are identical.

The spelling of 71759 in words is "seventy-one thousand, seven hundred fifty-nine".