71316 has 36 divisors (see below), whose sum is σ = 206752. Its totient is φ = 20304.

The previous prime is 71293. The next prime is 71317. The reversal of 71316 is 61317.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71317) 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 11 ways as a sum of consecutive naturals, for example, 111 + ... + 393.

2⁷¹³¹⁶ 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 71316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103376).

71316 is an abundant number, since it is smaller than the sum of its proper divisors (135436).

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

71316 is a wasteful number, since it uses less digits than its factorization.

71316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 71316 is about 267.0505570112. The cubic root of 71316 is about 41.4695184308.

Subtracting from 71316 its reverse (61317), we obtain a palindrome (9999).

It can be divided in two parts, 713 and 16, that added together give a 6-th power (729 = 3⁶).

The spelling of 71316 in words is "seventy-one thousand, three hundred sixteen".