75228 has 12 divisors (see below), whose sum is σ = 175560. Its totient is φ = 25072.

The previous prime is 75227. The next prime is 75239. The reversal of 75228 is 82257.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 75198 and 75207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3123 + ... + 3146.

It is an arithmetic number, because the mean of its divisors is an integer number (14630).

2⁷⁵²²⁸ is an apocalyptic number.

It is an amenable number.

75228 is an abundant number, since it is smaller than the sum of its proper divisors (100332).

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 (87780).

75228 is a wasteful number, since it uses less digits than its factorization.

75228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276 (or 6274 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 75228 is about 274.2772320117. The cubic root of 75228 is about 42.2143239561.

It can be divided in two parts, 752 and 28, that added together give a triangular number (780 = T₃₉).

The spelling of 75228 in words is "seventy-five thousand, two hundred twenty-eight".