1728144 has 60 divisors (see below), whose sum is σ = 5280912. Its totient is φ = 523200.

The previous prime is 1728121. The next prime is 1728149. The reversal of 1728144 is 4418271.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1728149) 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, 1039 + ... + 2129.

2^1728144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640456).

1728144 is an abundant number, since it is smaller than the sum of its proper divisors (3552768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1728144 is a wasteful number, since it uses less digits than its factorization.

1728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1107 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 1728144 is about 1314.5889091271. The cubic root of 1728144 is about 120.0033332407.

It can be divided in two parts, 1728 and 144, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 1728144 in words is "one million, seven hundred twenty-eight thousand, one hundred forty-four".