172073113344 has 504 divisors, whose sum is σ = 567682777200. Its totient is φ = 51597803520.

The previous prime is 172073113301. The next prime is 172073113363. The reversal of 172073113344 is 443311370271.

172073113344 is a `hidden beast` number, since 1 + 7 + 2 + 0 + 7 + 311 + 334 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172073113299 and 172073113308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 223761792 + ... + 223762560.

Almost surely, 2^172073113344 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 172073113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283841388600).

172073113344 is an abundant number, since it is smaller than the sum of its proper divisors (395609663856).

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

172073113344 is an equidigital number, since it uses as much as digits as its factorization.

172073113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 172073113344 in words is "one hundred seventy-two billion, seventy-three million, one hundred thirteen thousand, three hundred forty-four".