71559 has 6 divisors (see below), whose sum is σ = 103376. Its totient is φ = 47700.

The previous prime is 71551. The next prime is 71563. The reversal of 71559 is 95517.

It is not a de Polignac number, because 71559 - 2³ = 71551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3967 + ... + 3984.

2⁷¹⁵⁵⁹ is an apocalyptic number.

71559 is a deficient number, since it is larger than the sum of its proper divisors (31817).

71559 is a wasteful number, since it uses less digits than its factorization.

71559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7954 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 71559 is about 267.5051401375. The cubic root of 71559 is about 41.5165656999.

It can be divided in two parts, 71 and 559, that added together give a triangular number (630 = T₃₅).

The spelling of 71559 in words is "seventy-one thousand, five hundred fifty-nine".