735728 has 20 divisors (see below), whose sum is σ = 1629360. Its totient is φ = 315264.

The previous prime is 735719. The next prime is 735731. The reversal of 735728 is 827537.

It is a junction number, because it is equal to n+sod(n) for n = 735694 and 735703.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 3173 + ... + 3396.

It is an arithmetic number, because the mean of its divisors is an integer number (81468).

2⁷³⁵⁷²⁸ is an apocalyptic number.

It is an amenable number.

735728 is an abundant number, since it is smaller than the sum of its proper divisors (893632).

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

735728 is a wasteful number, since it uses less digits than its factorization.

735728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6578 counting only the distinct ones).

The product of its digits is 11760, while the sum is 32.

The square root of 735728 is about 857.7458831146. The cubic root of 735728 is about 90.2760250091.

Subtracting 735728 from its reverse (827537), we obtain a square (91809 = 303²).

The spelling of 735728 in words is "seven hundred thirty-five thousand, seven hundred twenty-eight".