71580 has 24 divisors (see below), whose sum is σ = 200592. Its totient is φ = 19072.

The previous prime is 71569. The next prime is 71593. The reversal of 71580 is 8517.

It is a happy number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

71580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (8358).

2⁷¹⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

71580 is an abundant number, since it is smaller than the sum of its proper divisors (129012).

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 (100296).

71580 is a wasteful number, since it uses less digits than its factorization.

71580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 71580 is about 267.5443888404. The cubic root of 71580 is about 41.5206265103.

The spelling of 71580 in words is "seventy-one thousand, five hundred eighty".