728037 has 12 divisors (see below), whose sum is σ = 1077804. Its totient is φ = 473280.

The previous prime is 728027. The next prime is 728047. The reversal of 728037 is 730827.

It is an interprime number because it is at equal distance from previous prime (728027) and next prime (728047).

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 641601 = 294^2 + 801^2 .

It is not a de Polignac number, because 728037 - 2⁸ = 727781 is a prime.

It is an Ulam number.

728037 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 728037.

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 728037.

It is not an unprimeable number, because it can be changed into a prime (728017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (89817).

2⁷²⁸⁰³⁷ is an apocalyptic number.

It is an amenable number.

728037 is a deficient number, since it is larger than the sum of its proper divisors (349767).

728037 is a wasteful number, since it uses less digits than its factorization.

728037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2017 counting only the distinct ones).

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

The square root of 728037 is about 853.2508423670. The cubic root of 728037 is about 89.9603529075.

The spelling of 728037 in words is "seven hundred twenty-eight thousand, thirty-seven".