71564 has 6 divisors (see below), whose sum is σ = 125244. Its totient is φ = 35780.

The previous prime is 71563. The next prime is 71569. The reversal of 71564 is 46517.

It is a plaindrome in base 16.

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 as a sum of consecutive naturals, namely, 8942 + ... + 8949.

It is an arithmetic number, because the mean of its divisors is an integer number (20874).

2⁷¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

71564 is a deficient number, since it is larger than the sum of its proper divisors (53680).

71564 is a wasteful number, since it uses less digits than its factorization.

71564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17895 (or 17893 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 71564 is about 267.5144855891. The cubic root of 71564 is about 41.5175326316.

The spelling of 71564 in words is "seventy-one thousand, five hundred sixty-four".