172730880000 has 1950 divisors, whose sum is σ = 794183190966. Its totient is φ = 37158912000.

The previous prime is 172730879969. The next prime is 172730880019. The reversal of 172730880000 is 88037271.

It can be written as a sum of positive squares in 5 ways, for example, as 43958992896 + 128771887104 = 209664^2 + 358848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 10160639992 + ... + 10160640008.

Almost surely, 2^172730880000 is an apocalyptic number.

172730880000 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 172730880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397091595483).

172730880000 is an abundant number, since it is smaller than the sum of its proper divisors (621452310966).

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

172730880000 is an frugal number, since it uses more digits than its factorization.

172730880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 172730880000 in words is "one hundred seventy-two billion, seven hundred thirty million, eight hundred eighty thousand".