728052 has 36 divisors (see below), whose sum is σ = 1844640. Its totient is φ = 223392.

The previous prime is 728047. The next prime is 728069. The reversal of 728052 is 250827.

It is a congruent number.

It is an unprimeable number.

728052 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 11 ways as a sum of consecutive naturals, for example, 1849 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (51240).

2⁷²⁸⁰⁵² 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 728052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922320).

728052 is an abundant number, since it is smaller than the sum of its proper divisors (1116588).

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

728052 is a wasteful number, since it uses less digits than its factorization.

728052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 728052 is about 853.2596322339. The cubic root of 728052 is about 89.9609707314.

Adding to 728052 its reverse (250827), we get a palindrome (978879).

The spelling of 728052 in words is "seven hundred twenty-eight thousand, fifty-two".