172318080 has 256 divisors, whose sum is σ = 616896000. Its totient is φ = 40550400.

The previous prime is 172318079. The next prime is 172318127. The reversal of 172318080 is 80813271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 865821 + ... + 866019.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^172318080 is an apocalyptic number.

172318080 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 172318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

172318080 is an abundant number, since it is smaller than the sum of its proper divisors (444577920).

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

172318080 is a wasteful number, since it uses less digits than its factorization.

172318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 172318080 is about 13126.9981336176. The cubic root of 172318080 is about 556.4723829077.

The spelling of 172318080 in words is "one hundred seventy-two million, three hundred eighteen thousand, eighty".