172339200 has 468 divisors, whose sum is σ = 713010168. Its totient is φ = 39321600.

The previous prime is 172339171. The next prime is 172339201. The reversal of 172339200 is 2933271.

It is not an unprimeable number, because it can be changed into a prime (172339201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10137592 + ... + 10137608.

It is an arithmetic number, because the mean of its divisors is an integer number (1523526).

Almost surely, 2^172339200 is an apocalyptic number.

172339200 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 172339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356505084).

172339200 is an abundant number, since it is smaller than the sum of its proper divisors (540670968).

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

172339200 is a wasteful number, since it uses less digits than its factorization.

172339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 172339200 is about 13127.8025579302. The cubic root of 172339200 is about 556.4951164801.

The spelling of 172339200 in words is "one hundred seventy-two million, three hundred thirty-nine thousand, two hundred".