173728044720 has 240 divisors, whose sum is σ = 603935155200. Its totient is φ = 44719589376.

The previous prime is 173728044701. The next prime is 173728044797. The reversal of 173728044720 is 27440827371.

173728044720 is a `hidden beast` number, since 173 + 7 + 2 + 8 + 0 + 4 + 472 + 0 = 666.

173728044720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3357606 + ... + 3408954.

It is an arithmetic number, because the mean of its divisors is an integer number (2516396480).

Almost surely, 2^173728044720 is an apocalyptic number.

173728044720 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 173728044720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301967577600).

173728044720 is an abundant number, since it is smaller than the sum of its proper divisors (430207110480).

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

173728044720 is a wasteful number, since it uses less digits than its factorization.

173728044720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51532 (or 51523 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 173728044720 in words is "one hundred seventy-three billion, seven hundred twenty-eight million, forty-four thousand, seven hundred twenty".