71160 has 32 divisors (see below), whose sum is σ = 213840. Its totient is φ = 18944.

The previous prime is 71153. The next prime is 71161. The reversal of 71160 is 6117.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71160.

It is not an unprimeable number, because it can be changed into a prime (71161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 416.

2⁷¹¹⁶⁰ is an apocalyptic number.

It is an amenable number.

71160 is an abundant number, since it is smaller than the sum of its proper divisors (142680).

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 (106920).

71160 is a wasteful number, since it uses less digits than its factorization.

71160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 71160 is about 266.7583175835. The cubic root of 71160 is about 41.4392588926.

Adding to 71160 its reverse (6117), we get a palindrome (77277).

It can be divided in two parts, 71 and 160, that added together give a triangular number (231 = T₂₁).

The spelling of 71160 in words is "seventy-one thousand, one hundred sixty".