1728025 has 18 divisors (see below), whose sum is σ = 2325930. Its totient is φ = 1272960.

The previous prime is 1728019. The next prime is 1728043. The reversal of 1728025 is 5208271.

It can be written as a sum of positive squares in 9 ways, for example, as 685584 + 1042441 = 828^2 + 1021^2 .

It is not a de Polignac number, because 1728025 - 2³ = 1728017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 4021 + ... + 4429.

2^1728025 is an apocalyptic number.

It is an amenable number.

1728025 is a deficient number, since it is larger than the sum of its proper divisors (597905).

1728025 is a wasteful number, since it uses less digits than its factorization.

1728025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1728025 is about 1314.5436470502. The cubic root of 1728025 is about 120.0005787009. Note that the first 3 decimals are identical.

Subtracting from 1728025 its sum of digits (25), we obtain a cube (1728000 = 120³).

The spelling of 1728025 in words is "one million, seven hundred twenty-eight thousand, twenty-five".