1725648805728 has 288 divisors, whose sum is σ = 5152882119840. Its totient is φ = 547048857600.

The previous prime is 1725648805723. The next prime is 1725648805733. The reversal of 1725648805728 is 8275088465271.

1725648805728 is a `hidden beast` number, since 1 + 7 + 2 + 56 + 4 + 8 + 8 + 0 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1725648805723) and next prime (1725648805733).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1725648805728³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1725648805721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640789150 + ... + 640791842.

It is an arithmetic number, because the mean of its divisors is an integer number (17891951805).

Almost surely, 2^{1725648805728} is an apocalyptic number.

1725648805728 is a gapful number since it is divisible by the number (18) 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 1725648805728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576441059920).

1725648805728 is an abundant number, since it is smaller than the sum of its proper divisors (3427233314112).

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

1725648805728 is a wasteful number, since it uses less digits than its factorization.

1725648805728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 1725648805728 in words is "one trillion, seven hundred twenty-five billion, six hundred forty-eight million, eight hundred five thousand, seven hundred twenty-eight".