67224 has 16 divisors (see below), whose sum is σ = 168120. Its totient is φ = 22400.

The previous prime is 67219. The next prime is 67231. The reversal of 67224 is 42276.

It is a happy number.

67224 is nontrivially palindromic in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 67224.

It is a congruent number.

It is an unprimeable number.

67224 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 3 ways as a sum of consecutive naturals, for example, 1377 + ... + 1424.

2⁶⁷²²⁴ is an apocalyptic number.

It is an amenable number.

67224 is an abundant number, since it is smaller than the sum of its proper divisors (100896).

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 (84060).

67224 is a wasteful number, since it uses less digits than its factorization.

67224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2806 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 67224 is about 259.2759148089. The cubic root of 67224 is about 40.6606936792.

Adding to 67224 its product of digits (672), we get a triangular number (67896 = T₃₆₈).

It can be divided in two parts, 672 and 24, that added together give a palindrome (696).

The spelling of 67224 in words is "sixty-seven thousand, two hundred twenty-four".