71360 has 28 divisors (see below), whose sum is σ = 170688. Its totient is φ = 28416.

The previous prime is 71359. The next prime is 71363. The reversal of 71360 is 6317.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (71363) 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, 209 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2⁷¹³⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344).

71360 is an abundant number, since it is smaller than the sum of its proper divisors (99328).

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

71360 is a wasteful number, since it uses less digits than its factorization.

71360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 71360 is about 267.1329257130. The cubic root of 71360 is about 41.4780451928.

Adding to 71360 its reverse (6317), we get a palindrome (77677).

The spelling of 71360 in words is "seventy-one thousand, three hundred sixty".