228072 has 64 divisors (see below), whose sum is σ = 665280. Its totient is φ = 64512.

The previous prime is 228061. The next prime is 228077. The reversal of 228072 is 270822.

228072 is nontrivially palindromic in base 5.

228072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228072.

It is not an unprimeable number, because it can be changed into a prime (228077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5283 + ... + 5325.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2²²⁸⁰⁷² 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 228072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

228072 is an abundant number, since it is smaller than the sum of its proper divisors (437208).

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

228072 is a wasteful number, since it uses less digits than its factorization.

228072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 228072 is about 477.5688432048. The cubic root of 228072 is about 61.0975774132.

Adding to 228072 its reverse (270822), we get a palindrome (498894).

The spelling of 228072 in words is "two hundred twenty-eight thousand, seventy-two".