172872000 has 420 divisors, whose sum is σ = 721414356. Its totient is φ = 39513600.

The previous prime is 172871977. The next prime is 172872001. The reversal of 172872000 is 278271.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 167340096 = 2352^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172872001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 24695997 + ... + 24696003.

Almost surely, 2^172872000 is an apocalyptic number.

172872000 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 172872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360707178).

172872000 is an abundant number, since it is smaller than the sum of its proper divisors (548542356).

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

172872000 is an frugal number, since it uses more digits than its factorization.

172872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 172872000 is about 13148.0797076988. The cubic root of 172872000 is about 557.0680091055.

The spelling of 172872000 in words is "one hundred seventy-two million, eight hundred seventy-two thousand".