67214112 has 96 divisors (see below), whose sum is σ = 208656000. Its totient is φ = 18536448.

The previous prime is 67214111. The next prime is 67214149. The reversal of 67214112 is 21141276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (67214111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17764 + ... + 21212.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 2^67214112 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 67214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104328000).

67214112 is an abundant number, since it is smaller than the sum of its proper divisors (141441888).

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

67214112 is a wasteful number, since it uses less digits than its factorization.

67214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3490 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 67214112 is about 8198.4213114477. The cubic root of 67214112 is about 406.5869998320.

Adding to 67214112 its reverse (21141276), we get a palindrome (88355388).

The spelling of 67214112 in words is "sixty-seven million, two hundred fourteen thousand, one hundred twelve".