71716 has 6 divisors (see below), whose sum is σ = 125510. Its totient is φ = 35856.

The previous prime is 71713. The next prime is 71719. The reversal of 71716 is 61717.

It is an interprime number because it is at equal distance from previous prime (71713) and next prime (71719).

It can be written as a sum of positive squares in only one way, i.e., 62500 + 9216 = 250^2 + 96^2 .

It is a magnanimous number.

It is not an unprimeable number, because it can be changed into a prime (71711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8961 + ... + 8968.

2⁷¹⁷¹⁶ is an apocalyptic number.

It is an amenable number.

71716 is a deficient number, since it is larger than the sum of its proper divisors (53794).

71716 is a wasteful number, since it uses less digits than its factorization.

71716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933 (or 17931 counting only the distinct ones).

The product of its digits is 294, while the sum is 22.

The square root of 71716 is about 267.7984316608. The cubic root of 71716 is about 41.5469058841.

Adding to 71716 its product of digits (294), we get a triangular number (72010 = T₃₇₉).

Subtracting from 71716 its reverse (61717), we obtain a palindrome (9999).

It can be divided in two parts, 71 and 716, that added together give a palindrome (787).

The spelling of 71716 in words is "seventy-one thousand, seven hundred sixteen".