71516 has 12 divisors (see below), whose sum is σ = 131880. Its totient is φ = 33840.

The previous prime is 71503. The next prime is 71527. The reversal of 71516 is 61517.

It is a super-2 number, since 2×71516² = 10229076512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

71516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (10990).

2⁷¹⁵¹⁶ is an apocalyptic number.

71516 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

71516 is a deficient number, since it is larger than the sum of its proper divisors (60364).

71516 is a wasteful number, since it uses less digits than its factorization.

71516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its digits is 210, while the sum is 20.

The square root of 71516 is about 267.4247557725. The cubic root of 71516 is about 41.5082482275.

Subtracting from 71516 its reverse (61517), we obtain a palindrome (9999).

The spelling of 71516 in words is "seventy-one thousand, five hundred sixteen".