71416 has 16 divisors (see below), whose sum is σ = 136800. Its totient is φ = 34944.

The previous prime is 71413. The next prime is 71419. The reversal of 71416 is 61417.

It is a happy number.

71416 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (71413) and next prime (71419).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 71393 and 71402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 576 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁷¹⁴¹⁶ is an apocalyptic number.

It is an amenable number.

71416 is a deficient number, since it is larger than the sum of its proper divisors (65384).

71416 is a wasteful number, since it uses less digits than its factorization.

71416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 71416 is about 267.2377218882. The cubic root of 71416 is about 41.4888923677.

Subtracting from 71416 its reverse (61417), we obtain a palindrome (9999).

The spelling of 71416 in words is "seventy-one thousand, four hundred sixteen".