73116 has 24 divisors (see below), whose sum is σ = 189840. Its totient is φ = 24336.

The previous prime is 73091. The next prime is 73121. The reversal of 73116 is 61137.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

73116 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 7 ways as a sum of consecutive naturals, for example, 231 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (7910).

2⁷³¹¹⁶ is an apocalyptic number.

It is an amenable number.

73116 is an abundant number, since it is smaller than the sum of its proper divisors (116724).

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 (94920).

73116 is a wasteful number, since it uses less digits than its factorization.

73116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 73116 is about 270.3997041418. The cubic root of 73116 is about 41.8155173877.

It can be divided in two parts, 731 and 16, that added together give a palindrome (747).

The spelling of 73116 in words is "seventy-three thousand, one hundred sixteen".