1728105 has 16 divisors (see below), whose sum is σ = 2885760. Its totient is φ = 881408.

The previous prime is 1728091. The next prime is 1728119. The reversal of 1728105 is 5018271.

It is an interprime number because it is at equal distance from previous prime (1728091) and next prime (1728119).

It is a cyclic number.

It is not a de Polignac number, because 1728105 - 2¹⁷ = 1597033 is a prime.

1728105 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (180360).

2^1728105 is an apocalyptic number.

1728105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1728105 is a deficient number, since it is larger than the sum of its proper divisors (1157655).

1728105 is a wasteful number, since it uses less digits than its factorization.

1728105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040.

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 1728105 is about 1314.5740755089. The cubic root of 1728105 is about 120.0024305063.

The spelling of 1728105 in words is "one million, seven hundred twenty-eight thousand, one hundred five".