728760 has 32 divisors (see below), whose sum is σ = 2186640. Its totient is φ = 194304.

The previous prime is 728747. The next prime is 728771. The reversal of 728760 is 67827.

It is a super-2 number, since 2×728760² = 1062182275200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 728760.

It is an unprimeable number.

728760 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 2917 + ... + 3156.

2⁷²⁸⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

728760 is an abundant number, since it is smaller than the sum of its proper divisors (1457880).

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

728760 is a wasteful number, since it uses less digits than its factorization.

728760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 728760 is about 853.6744110022. The cubic root of 728760 is about 89.9901223727.

The spelling of 728760 in words is "seven hundred twenty-eight thousand, seven hundred sixty".