67228 has 18 divisors (see below), whose sum is σ = 137256. Its totient is φ = 28812.

The previous prime is 67219. The next prime is 67231. The reversal of 67228 is 82276.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 9601 + ... + 9607.

67228 is a Friedman number, since it can be written as 7^6/(2-2/8), using all its digits and the basic arithmetic operations.

2⁶⁷²²⁸ 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 67228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68628).

67228 is an abundant number, since it is smaller than the sum of its proper divisors (70028).

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

67228 is an frugal number, since it uses more digits than its factorization.

67228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 9 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 67228 is about 259.2836284843. The cubic root of 67228 is about 40.6615001349.

The spelling of 67228 in words is "sixty-seven thousand, two hundred twenty-eight".