172126920 has 64 divisors (see below), whose sum is σ = 590152320. Its totient is φ = 39343104.

The previous prime is 172126907. The next prime is 172126931. The reversal of 172126920 is 29621271.

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

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 15 ways as a sum of consecutive naturals, for example, 101617 + ... + 103296.

It is an arithmetic number, because the mean of its divisors is an integer number (9221130).

Almost surely, 2^172126920 is an apocalyptic number.

172126920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172126920 is an abundant number, since it is smaller than the sum of its proper divisors (418025400).

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

172126920 is a wasteful number, since it uses less digits than its factorization.

172126920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204934 (or 204930 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 172126920 is about 13119.7149359275. The cubic root of 172126920 is about 556.2665337004.

The spelling of 172126920 in words is "one hundred seventy-two million, one hundred twenty-six thousand, nine hundred twenty".