756228 has 48 divisors (see below), whose sum is σ = 2044224. Its totient is φ = 215040.

The previous prime is 756227. The next prime is 756247. The reversal of 756228 is 822657.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 756195 and 756204.

It is not an unprimeable number, because it can be changed into a prime (756227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2076 + ... + 2412.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁷⁵⁶²²⁸ 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 756228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022112).

756228 is an abundant number, since it is smaller than the sum of its proper divisors (1287996).

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

756228 is a wasteful number, since it uses less digits than its factorization.

756228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 756228 is about 869.6137073437. The cubic root of 756228 is about 91.1068262025.

The spelling of 756228 in words is "seven hundred fifty-six thousand, two hundred twenty-eight".