71565 has 16 divisors (see below), whose sum is σ = 123648. Its totient is φ = 35136.

The previous prime is 71563. The next prime is 71569. The reversal of 71565 is 56517.

It is not a de Polignac number, because 71565 - 2¹ = 71563 is a prime.

It is a plaindrome in base 16.

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 15 ways as a sum of consecutive naturals, for example, 12 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

2⁷¹⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

71565 is a deficient number, since it is larger than the sum of its proper divisors (52083).

71565 is a wasteful number, since it uses less digits than its factorization.

71565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388.

The product of its digits is 1050, while the sum is 24.

The square root of 71565 is about 267.5163546402. The cubic root of 71565 is about 41.5177260125.

It can be divided in two parts, 715 and 65, that added together give a triangular number (780 = T₃₉).

The spelling of 71565 in words is "seventy-one thousand, five hundred sixty-five".