71589 has 12 divisors (see below), whose sum is σ = 111264. Its totient is φ = 40824.

The previous prime is 71569. The next prime is 71593. The reversal of 71589 is 98517.

It is not a de Polignac number, because 71589 - 2⁸ = 71333 is a prime.

Its product of digits (2520) is a multiple of the sum of its prime factors (504).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71549) 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, 97 + ... + 390.

It is an arithmetic number, because the mean of its divisors is an integer number (9272).

2⁷¹⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

71589 is a deficient number, since it is larger than the sum of its proper divisors (39675).

71589 is a wasteful number, since it uses less digits than its factorization.

71589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 71589 is about 267.5612079506. The cubic root of 71589 is about 41.5223666146.

It can be divided in two parts, 7 and 1589, that added together give a triangular number (1596 = T₅₆).

The spelling of 71589 in words is "seventy-one thousand, five hundred eighty-nine".