1725748000 has 96 divisors (see below), whose sum is σ = 4256664048. Its totient is φ = 687616000.

The previous prime is 1725747997. The next prime is 1725748001. The reversal of 1725748000 is 8475271.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 126067984 + 1599680016 = 11228^2 + 39996^2 .

It is not an unprimeable number, because it can be changed into a prime (1725748001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267320 + ... + 1268680.

Almost surely, 2^1725748000 is an apocalyptic number.

1725748000 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 1725748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128332024).

1725748000 is an abundant number, since it is smaller than the sum of its proper divisors (2530916048).

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

1725748000 is a wasteful number, since it uses less digits than its factorization.

1725748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 1725748000 is about 41542.1232004336. The cubic root of 1725748000 is about 1199.4784770814.

The spelling of 1725748000 in words is "one billion, seven hundred twenty-five million, seven hundred forty-eight thousand".