172082800 has 60 divisors (see below), whose sum is σ = 419664856. Its totient is φ = 67795200.

The previous prime is 172082783. The next prime is 172082837. The reversal of 172082800 is 8280271.

It is a super-2 number, since 2×172082800² = 59224980111680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23590 + ... + 30010.

Almost surely, 2^172082800 is an apocalyptic number.

172082800 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 172082800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209832428).

172082800 is an abundant number, since it is smaller than the sum of its proper divisors (247582056).

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

172082800 is a wasteful number, since it uses less digits than its factorization.

172082800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 172082800 is about 13118.0333891937. The cubic root of 172082800 is about 556.2190017654.

The spelling of 172082800 in words is "one hundred seventy-two million, eighty-two thousand, eight hundred".