728252 has 24 divisors (see below), whose sum is σ = 1505280. Its totient is φ = 301680.

The previous prime is 728209. The next prime is 728261. The reversal of 728252 is 252827.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728252.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 449 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (62720).

2⁷²⁸²⁵² 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 728252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752640).

728252 is an abundant number, since it is smaller than the sum of its proper divisors (777028).

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

728252 is a wasteful number, since it uses less digits than its factorization.

728252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 728252 is about 853.3768218085. The cubic root of 728252 is about 89.9692075729.

It can be divided in two parts, 72825 and 2, that added together give a palindrome (72827).

The spelling of 728252 in words is "seven hundred twenty-eight thousand, two hundred fifty-two".