172200288 has 96 divisors (see below), whose sum is σ = 502612992. Its totient is φ = 51264000.

The previous prime is 172200283. The next prime is 172200359. The reversal of 172200288 is 882002271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172200283) 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, 36463 + ... + 40913.

It is an arithmetic number, because the mean of its divisors is an integer number (5235552).

Almost surely, 2^172200288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172200288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251306496).

172200288 is an abundant number, since it is smaller than the sum of its proper divisors (330412704).

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

172200288 is a wasteful number, since it uses less digits than its factorization.

172200288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 172200288 is about 13122.5107353738. The cubic root of 172200288 is about 556.3455574924.

The spelling of 172200288 in words is "one hundred seventy-two million, two hundred thousand, two hundred eighty-eight".