71791 has 8 divisors (see below), whose sum is σ = 78624. Its totient is φ = 65280.

The previous prime is 71789. The next prime is 71807. The reversal of 71791 is 19717.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 71791 - 2¹ = 71789 is a prime.

It is a Duffinian 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 (71711) 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, 646 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2⁷¹⁷⁹¹ is an apocalyptic number.

71791 is a deficient number, since it is larger than the sum of its proper divisors (6833).

71791 is a wasteful number, since it uses less digits than its factorization.

71791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its digits is 441, while the sum is 25.

The square root of 71791 is about 267.9384257623. The cubic root of 71791 is about 41.5613839752.

It can be divided in two parts, 717 and 91, that added together give a palindrome (808).

The spelling of 71791 in words is "seventy-one thousand, seven hundred ninety-one".