71567 has 4 divisors (see below), whose sum is σ = 72840. Its totient is φ = 70296.

The previous prime is 71563. The next prime is 71569. The reversal of 71567 is 76517.

71567 is nontrivially palindromic in base 13.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 71567 - 2² = 71563 is a prime.

It is a Duffinian number.

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 3 ways as a sum of consecutive naturals, for example, 548 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (18210).

2⁷¹⁵⁶⁷ is an apocalyptic number.

71567 is a deficient number, since it is larger than the sum of its proper divisors (1273).

71567 is a wasteful number, since it uses less digits than its factorization.

71567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272.

The product of its digits is 1470, while the sum is 26.

The square root of 71567 is about 267.5200927033. The cubic root of 71567 is about 41.5181127690.

Adding to 71567 its product of digits (1470), we get a palindrome (73037).

Subtracting 71567 from its reverse (76517), we obtain a triangular number (4950 = T₉₉).

The spelling of 71567 in words is "seventy-one thousand, five hundred sixty-seven".