172320000 has 180 divisors, whose sum is σ = 574691040. Its totient is φ = 45824000.

The previous prime is 172319999. The next prime is 172320011. The reversal of 172320000 is 23271.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479821 + ... + 480179.

It is an arithmetic number, because the mean of its divisors is an integer number (3192728).

Almost surely, 2^172320000 is an apocalyptic number.

172320000 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 172320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287345520).

172320000 is an abundant number, since it is smaller than the sum of its proper divisors (402371040).

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

172320000 is an frugal number, since it uses more digits than its factorization.

172320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 172320000 is about 13127.0712651376. The cubic root of 172320000 is about 556.4744496729.

Adding to 172320000 its reverse (23271), we get a palindrome (172343271).

The spelling of 172320000 in words is "one hundred seventy-two million, three hundred twenty thousand".