71739 has 8 divisors (see below), whose sum is σ = 106320. Its totient is φ = 47808.

The previous prime is 71719. The next prime is 71741. The reversal of 71739 is 93717.

71739 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 71739 - 2⁵ = 71707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2657 = 71739 / (7 + 1 + 7 + 3 + 9).

71739 is a lucky number.

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 7 ways as a sum of consecutive naturals, for example, 1302 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (13290).

2⁷¹⁷³⁹ is an apocalyptic number.

71739 is a deficient number, since it is larger than the sum of its proper divisors (34581).

71739 is a wasteful number, since it uses less digits than its factorization.

71739 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2660 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 71739 is about 267.8413709642. The cubic root of 71739 is about 41.5513469047.

The spelling of 71739 in words is "seventy-one thousand, seven hundred thirty-nine".