728730 has 32 divisors (see below), whose sum is σ = 1944000. Its totient is φ = 194256.

The previous prime is 728729. The next prime is 728731. The reversal of 728730 is 37827.

It is an interprime number because it is at equal distance from previous prime (728729) and next prime (728731).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 728694 and 728703.

It is not an unprimeable number, because it can be changed into a prime (728731) 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 15 ways as a sum of consecutive naturals, for example, 1080 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

2⁷²⁸⁷³⁰ is an apocalyptic number.

728730 is an abundant number, since it is smaller than the sum of its proper divisors (1215270).

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

728730 is a wasteful number, since it uses less digits than its factorization.

728730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 728730 is about 853.6568397196. The cubic root of 728730 is about 89.9888875169.

The spelling of 728730 in words is "seven hundred twenty-eight thousand, seven hundred thirty".