172128800 has 36 divisors (see below), whose sum is σ = 420211386. Its totient is φ = 68851200.

The previous prime is 172128793. The next prime is 172128821. The reversal of 172128800 is 8821271.

It can be written as a sum of positive squares in 3 ways, for example, as 154455184 + 17673616 = 12428^2 + 4204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106781 + ... + 108380.

Almost surely, 2^172128800 is an apocalyptic number.

172128800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172128800 is an abundant number, since it is smaller than the sum of its proper divisors (248082586).

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

172128800 is a wasteful number, since it uses less digits than its factorization.

172128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215181 (or 215168 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 172128800 is about 13119.7865836301. The cubic root of 172128800 is about 556.2685589061.

The spelling of 172128800 in words is "one hundred seventy-two million, one hundred twenty-eight thousand, eight hundred".