71916 has 24 divisors (see below), whose sum is σ = 181104. Its totient is φ = 22080.

The previous prime is 71909. The next prime is 71917. The reversal of 71916 is 61917.

71916 = T₆₁ + T₆₂ + ... + T₈₆.

It is a super-2 number, since 2×71916² = 10343822112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71917) 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, 75 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (7546).

2⁷¹⁹¹⁶ is an apocalyptic number.

It is an amenable number.

71916 is an abundant number, since it is smaller than the sum of its proper divisors (109188).

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 (90552).

71916 is a wasteful number, since it uses less digits than its factorization.

71916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its digits is 378, while the sum is 24.

The square root of 71916 is about 268.1715868618. The cubic root of 71916 is about 41.5854917356.

Subtracting from 71916 its reverse (61917), we obtain a palindrome (9999).

The spelling of 71916 in words is "seventy-one thousand, nine hundred sixteen".