1728120000 has 140 divisors (see below), whose sum is σ = 5713964696. Its totient is φ = 460800000.

The previous prime is 1728119983. The next prime is 1728120001. The reversal of 1728120000 is 218271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112800 + ... + 127200.

Almost surely, 2^1728120000 is an apocalyptic number.

1728120000 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 1728120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856982348).

1728120000 is an abundant number, since it is smaller than the sum of its proper divisors (3985844696).

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

1728120000 is an equidigital number, since it uses as much as digits as its factorization.

1728120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14436 (or 14411 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1728120000 is about 41570.6627322683. The cubic root of 1728120000 is about 1200.0277771348.

Adding to 1728120000 its reverse (218271), we get a palindrome (1728338271).

It can be divided in two parts, 1728 and 120000, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 1728120000 in words is "one billion, seven hundred twenty-eight million, one hundred twenty thousand".