172609920 has 256 divisors, whose sum is σ = 699148800. Its totient is φ = 39426048.

The previous prime is 172609919. The next prime is 172609933. The reversal of 172609920 is 29906271.

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 31 ways as a sum of consecutive naturals, for example, 120247 + ... + 121673.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2^172609920 is an apocalyptic number.

172609920 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 172609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

172609920 is an abundant number, since it is smaller than the sum of its proper divisors (526538880).

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

172609920 is a wasteful number, since it uses less digits than its factorization.

172609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 172609920 is about 13138.1094530378. The cubic root of 172609920 is about 556.7863551948.

The spelling of 172609920 in words is "one hundred seventy-two million, six hundred nine thousand, nine hundred twenty".