728112 has 80 divisors (see below), whose sum is σ = 2356992. Its totient is φ = 188160.

The previous prime is 728087. The next prime is 728113. The reversal of 728112 is 211827.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (728113) by changing a digit.

728112 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 15 ways as a sum of consecutive naturals, for example, 3598 + ... + 3794.

2⁷²⁸¹¹² 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 728112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496).

728112 is an abundant number, since it is smaller than the sum of its proper divisors (1628880).

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

728112 is a wasteful number, since it uses less digits than its factorization.

728112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 728112 is about 853.2947907962. The cubic root of 728112 is about 89.9634419422.

Adding to 728112 its reverse (211827), we get a palindrome (939939).

The spelling of 728112 in words is "seven hundred twenty-eight thousand, one hundred twelve".