1725568 has 64 divisors (see below), whose sum is σ = 3984120. Its totient is φ = 737280.

The previous prime is 1725557. The next prime is 1725583. The reversal of 1725568 is 8655271.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 788544 = 968^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

Its product of digits (16800) is a multiple of the sum of its prime factors (105).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28258 + ... + 28318.

2^1725568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992060).

1725568 is an abundant number, since it is smaller than the sum of its proper divisors (2258552).

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

1725568 is a wasteful number, since it uses less digits than its factorization.

1725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its digits is 16800, while the sum is 34.

The square root of 1725568 is about 1313.6087697637. The cubic root of 1725568 is about 119.9436772724.

The spelling of 1725568 in words is "one million, seven hundred twenty-five thousand, five hundred sixty-eight".