172288080 has 240 divisors, whose sum is σ = 620585280. Its totient is φ = 43925760.

The previous prime is 172288007. The next prime is 172288097. The reversal of 172288080 is 80882271.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2075719 + ... + 2075801.

It is an arithmetic number, because the mean of its divisors is an integer number (2585772).

Almost surely, 2^172288080 is an apocalyptic number.

172288080 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 172288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310292640).

172288080 is an abundant number, since it is smaller than the sum of its proper divisors (448297200).

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

172288080 is a wasteful number, since it uses less digits than its factorization.

172288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 172288080 is about 13125.8554006967. The cubic root of 172288080 is about 556.4400877081.

The spelling of 172288080 in words is "one hundred seventy-two million, two hundred eighty-eight thousand, eighty".