172125888 has 168 divisors, whose sum is σ = 518891520. Its totient is φ = 50265600.

The previous prime is 172125869. The next prime is 172125907. The reversal of 172125888 is 888521271.

It is an interprime number because it is at equal distance from previous prime (172125869) and next prime (172125907).

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 23 ways as a sum of consecutive naturals, for example, 720073 + ... + 720311.

It is an arithmetic number, because the mean of its divisors is an integer number (3088640).

Almost surely, 2^172125888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445760).

172125888 is an abundant number, since it is smaller than the sum of its proper divisors (346765632).

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

172125888 is a wasteful number, since it uses less digits than its factorization.

172125888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its digits is 71680, while the sum is 42.

The square root of 172125888 is about 13119.6756057457. The cubic root of 172125888 is about 556.2654219854.

The spelling of 172125888 in words is "one hundred seventy-two million, one hundred twenty-five thousand, eight hundred eighty-eight".