728737 has 4 divisors (see below), whose sum is σ = 735300. Its totient is φ = 722176.

The previous prime is 728731. The next prime is 728743. The reversal of 728737 is 737827.

728737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 737827 = 19 ⋅38833.

It is an interprime number because it is at equal distance from previous prime (728731) and next prime (728743).

It can be written as a sum of positive squares in 2 ways, for example, as 349281 + 379456 = 591^2 + 616^2 .

It is a cyclic number.

It is not a de Polignac number, because 728737 - 2³ = 728729 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3112 + ... + 3337.

It is an arithmetic number, because the mean of its divisors is an integer number (183825).

2⁷²⁸⁷³⁷ is an apocalyptic number.

It is an amenable number.

728737 is a deficient number, since it is larger than the sum of its proper divisors (6563).

728737 is a wasteful number, since it uses less digits than its factorization.

728737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562.

The product of its digits is 16464, while the sum is 34.

The square root of 728737 is about 853.6609397179. The cubic root of 728737 is about 89.9891756529.

The spelling of 728737 in words is "seven hundred twenty-eight thousand, seven hundred thirty-seven".