1720148000 has 96 divisors (see below), whose sum is σ = 4240153008. Its totient is φ = 685824000.

The previous prime is 1720147993. The next prime is 1720148011. The reversal of 1720148000 is 8410271.

It can be written as a sum of positive squares in 8 ways, for example, as 318693904 + 1401454096 = 17852^2 + 37436^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1827530 + ... + 1828470.

Almost surely, 2^1720148000 is an apocalyptic number.

1720148000 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 1720148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120076504).

1720148000 is an abundant number, since it is smaller than the sum of its proper divisors (2520005008).

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

1720148000 is an equidigital number, since it uses as much as digits as its factorization.

1720148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1720148000 is about 41474.6669667160. Note that the first 3 decimals coincide. The cubic root of 1720148000 is about 1198.1796474007.

Adding to 1720148000 its reverse (8410271), we get a palindrome (1728558271).

The spelling of 1720148000 in words is "one billion, seven hundred twenty million, one hundred forty-eight thousand".