1728505072800 has 2304 divisors, whose sum is σ = 7564015872000. Its totient is φ = 380936908800.

The previous prime is 1728505072757. The next prime is 1728505072823. The reversal of 1728505072800 is 82705058271.

1728505072800 is a `hidden beast` number, since 1 + 72 + 8 + 50 + 507 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10604325519 + ... + 10604325681.

It is an arithmetic number, because the mean of its divisors is an integer number (3282993000).

Almost surely, 2^{1728505072800} is an apocalyptic number.

1728505072800 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 1728505072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782007936000).

1728505072800 is an abundant number, since it is smaller than the sum of its proper divisors (5835510799200).

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

1728505072800 is a wasteful number, since it uses less digits than its factorization.

1728505072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 1728505072800 in words is "one trillion, seven hundred twenty-eight billion, five hundred five million, seventy-two thousand, eight hundred".