71616 has 28 divisors (see below), whose sum is σ = 189992. Its totient is φ = 23808.

The previous prime is 71597. The next prime is 71633. The reversal of 71616 is 61617.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 71592 and 71601.

It is a congruent number.

It is an unprimeable number.

71616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 6 + ... + 378.

2⁷¹⁶¹⁶ 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 71616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94996).

71616 is an abundant number, since it is smaller than the sum of its proper divisors (118376).

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

71616 is a wasteful number, since it uses less digits than its factorization.

71616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 71616 is about 267.6116589388. The cubic root of 71616 is about 41.5275860523.

Subtracting from 71616 its reverse (61617), we obtain a palindrome (9999).

The spelling of 71616 in words is "seventy-one thousand, six hundred sixteen".