71566 has 8 divisors (see below), whose sum is σ = 117144. Its totient is φ = 32520.

The previous prime is 71563. The next prime is 71569. The reversal of 71566 is 66517.

It is an interprime number because it is at equal distance from previous prime (71563) and next prime (71569).

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

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 71566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1605 + ... + 1648.

It is an arithmetic number, because the mean of its divisors is an integer number (14643).

2⁷¹⁵⁶⁶ is an apocalyptic number.

71566 is a deficient number, since it is larger than the sum of its proper divisors (45578).

71566 is a wasteful number, since it uses less digits than its factorization.

71566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266.

The product of its digits is 1260, while the sum is 25.

The square root of 71566 is about 267.5182236783. The cubic root of 71566 is about 41.5179193916.

It can be divided in two parts, 71 and 566, that multiplied together give a triangular number (40186 = T₂₈₃).

The spelling of 71566 in words is "seventy-one thousand, five hundred sixty-six".