172368000 has 640 divisors, whose sum is σ = 770140800. Its totient is φ = 37324800.

The previous prime is 172367999. The next prime is 172368013. The reversal of 172368000 is 863271.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071991 + ... + 9072009.

It is an arithmetic number, because the mean of its divisors is an integer number (1203345).

Almost surely, 2^172368000 is an apocalyptic number.

172368000 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 172368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385070400).

172368000 is an abundant number, since it is smaller than the sum of its proper divisors (597772800).

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

172368000 is an equidigital number, since it uses as much as digits as its factorization.

172368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 172368000 is about 13128.8994207435. The cubic root of 172368000 is about 556.5261138130.

The spelling of 172368000 in words is "one hundred seventy-two million, three hundred sixty-eight thousand".