1728320 has 56 divisors (see below), whose sum is σ = 4498848. Its totient is φ = 627200.

The previous prime is 1728319. The next prime is 1728323. The reversal of 1728320 is 238271.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3275 + ... + 3765.

2^1728320 is an apocalyptic number.

1728320 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 1728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249424).

1728320 is an abundant number, since it is smaller than the sum of its proper divisors (2770528).

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

1728320 is a wasteful number, since it uses less digits than its factorization.

1728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1728320 is about 1314.6558485018. The cubic root of 1728320 is about 120.0074069502.

It can be divided in two parts, 1728 and 320, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 1728320 in words is "one million, seven hundred twenty-eight thousand, three hundred twenty".