1728363 has 24 divisors (see below), whose sum is σ = 2857728. Its totient is φ = 909792.

The previous prime is 1728361. The next prime is 1728403. The reversal of 1728363 is 3638271.

It is not a de Polignac number, because 1728363 - 2¹ = 1728361 is a prime.

It is an Ulam number.

1728363 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1728363.

It is not an unprimeable number, because it can be changed into a prime (1728361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3306 + ... + 3792.

It is an arithmetic number, because the mean of its divisors is an integer number (119072).

2^1728363 is an apocalyptic number.

1728363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1728363 is a deficient number, since it is larger than the sum of its proper divisors (1129365).

1728363 is a wasteful number, since it uses less digits than its factorization.

1728363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 1728363 is about 1314.6722024900. The cubic root of 1728363 is about 120.0084021895.

It can be divided in two parts, 1728 and 363, that multiplied together give a square (627264 = 792²).

The spelling of 1728363 in words is "one million, seven hundred twenty-eight thousand, three hundred sixty-three".