753228 has 72 divisors (see below), whose sum is σ = 2256800. Its totient is φ = 211680.

The previous prime is 753197. The next prime is 753229. The reversal of 753228 is 822357.

It is not an unprimeable number, because it can be changed into a prime (753229) by changing a digit.

753228 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 23 ways as a sum of consecutive naturals, for example, 12318 + ... + 12378.

2⁷⁵³²²⁸ 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 753228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128400).

753228 is an abundant number, since it is smaller than the sum of its proper divisors (1503572).

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

753228 is a wasteful number, since it uses less digits than its factorization.

753228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 753228 is about 867.8870894304. The cubic root of 753228 is about 90.9861911986.

It can be divided in two parts, 7 and 53228, that added together give a palindrome (53235).

The spelling of 753228 in words is "seven hundred fifty-three thousand, two hundred twenty-eight".