67312 has 20 divisors (see below), whose sum is σ = 149296. Its totient is φ = 28800.

The previous prime is 67307. The next prime is 67339. The reversal of 67312 is 21376.

It is a self number, because there is not a number n which added to its sum of digits gives 67312.

It is a congruent number.

It is an unprimeable number.

67312 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, 189 + ... + 412.

2⁶⁷³¹² is an apocalyptic number.

It is an amenable number.

67312 is an abundant number, since it is smaller than the sum of its proper divisors (81984).

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 (74648).

67312 is a wasteful number, since it uses less digits than its factorization.

67312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 67312 is about 259.4455626909. The cubic root of 67312 is about 40.6784283218.

Adding to 67312 its reverse (21376), we get a palindrome (88688).

The spelling of 67312 in words is "sixty-seven thousand, three hundred twelve".