728532 has 72 divisors (see below), whose sum is σ = 2184000. Its totient is φ = 204624.

The previous prime is 728527. The next prime is 728537. The reversal of 728532 is 235827.

It is an interprime number because it is at equal distance from previous prime (728527) and next prime (728537).

It is a junction number, because it is equal to n+sod(n) for n = 728496 and 728505.

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 728532.

It is not an unprimeable number, because it can be changed into a prime (728537) 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 23 ways as a sum of consecutive naturals, for example, 12319 + ... + 12377.

2⁷²⁸⁵³² 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 728532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092000).

728532 is an abundant number, since it is smaller than the sum of its proper divisors (1455468).

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

728532 is a wasteful number, since it uses less digits than its factorization.

728532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 728532 is about 853.5408601819. The cubic root of 728532 is about 89.9807366179.

The spelling of 728532 in words is "seven hundred twenty-eight thousand, five hundred thirty-two".