172338920 has 64 divisors (see below), whose sum is σ = 431101440. Its totient is φ = 61574400.

The previous prime is 172338917. The next prime is 172338923. The reversal of 172338920 is 29833271.

172338920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172338917) and next prime (172338923).

It is not an unprimeable number, because it can be changed into a prime (172338923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10775 + ... + 21465.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2^172338920 is an apocalyptic number.

172338920 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 172338920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

172338920 is an abundant number, since it is smaller than the sum of its proper divisors (258762520).

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

172338920 is a wasteful number, since it uses less digits than its factorization.

172338920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 172338920 is about 13127.7918935364. The cubic root of 172338920 is about 556.4948151002.

The spelling of 172338920 in words is "one hundred seventy-two million, three hundred thirty-eight thousand, nine hundred twenty".