71588 has 12 divisors (see below), whose sum is σ = 136752. Its totient is φ = 32520.

The previous prime is 71569. The next prime is 71593. The reversal of 71588 is 88517.

It is a happy number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 71588.

It is an unprimeable number.

71588 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (11396).

2⁷¹⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

71588 is a deficient number, since it is larger than the sum of its proper divisors (65164).

71588 is a wasteful number, since it uses less digits than its factorization.

71588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1640 counting only the distinct ones).

The product of its digits is 2240, while the sum is 29.

The square root of 71588 is about 267.5593392128. The cubic root of 71588 is about 41.5221732768.

Adding to 71588 its sum of digits (29), we get a palindrome (71617).

The spelling of 71588 in words is "seventy-one thousand, five hundred eighty-eight".