71560 has 16 divisors (see below), whose sum is σ = 161100. Its totient is φ = 28608.

The previous prime is 71551. The next prime is 71563. The reversal of 71560 is 6517.

It can be written as a sum of positive squares in 2 ways, for example, as 68644 + 2916 = 262^2 + 54^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 855 + ... + 934.

2⁷¹⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

71560 is an abundant number, since it is smaller than the sum of its proper divisors (89540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80550).

71560 is a wasteful number, since it uses less digits than its factorization.

71560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 71560 is about 267.5070092540. The cubic root of 71560 is about 41.5167590898.

The spelling of 71560 in words is "seventy-one thousand, five hundred sixty".