67116 has 48 divisors (see below), whose sum is σ = 193536. Its totient is φ = 17664.

The previous prime is 67103. The next prime is 67121. The reversal of 67116 is 61176.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 67092 and 67101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67116.

It is an unprimeable number.

67116 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 15 ways as a sum of consecutive naturals, for example, 1405 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2⁶⁷¹¹⁶ 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 67116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

67116 is an abundant number, since it is smaller than the sum of its proper divisors (126420).

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

67116 is a wasteful number, since it uses less digits than its factorization.

67116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

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

The square root of 67116 is about 259.0675587564. The cubic root of 67116 is about 40.6389072701.

The spelling of 67116 in words is "sixty-seven thousand, one hundred sixteen".