728741 has 8 divisors (see below), whose sum is σ = 812280. Its totient is φ = 649152.

The previous prime is 728731. The next prime is 728743. The reversal of 728741 is 147827.

It can be written as a sum of positive squares in 4 ways, for example, as 64516 + 664225 = 254^2 + 815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 728741 - 2¹⁰ = 727717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728743) 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 7 ways as a sum of consecutive naturals, for example, 590 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (101535).

2⁷²⁸⁷⁴¹ is an apocalyptic number.

It is an amenable number.

728741 is a deficient number, since it is larger than the sum of its proper divisors (83539).

728741 is a wasteful number, since it uses less digits than its factorization.

728741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975.

The product of its digits is 3136, while the sum is 29.

The square root of 728741 is about 853.6632825652. The cubic root of 728741 is about 89.9893403013.

The spelling of 728741 in words is "seven hundred twenty-eight thousand, seven hundred forty-one".