1728000 has 160 divisors (see below), whose sum is σ = 6383520. Its totient is φ = 460800.

The previous prime is 1727989. The next prime is 1728017. The reversal of 1728000 is 8271.

The cubic root of 1728000 is 120.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (5!)³.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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, 345598 + ... + 345602.

It is an arithmetic number, because the mean of its divisors is an integer number (39897).

2^1728000 is an apocalyptic number.

1728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191760).

1728000 is an abundant number, since it is smaller than the sum of its proper divisors (4655520).

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

1728000 is an frugal number, since it uses more digits than its factorization.

1728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1728000 is about 1314.5341380124.

The spelling of 1728000 in words is "one million, seven hundred twenty-eight thousand".