172224000 has 480 divisors, whose sum is σ = 697080384. Its totient is φ = 40550400.

The previous prime is 172223983. The next prime is 172224001. The reversal of 172224000 is 422271.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×172224000² = 59322212352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172224001) 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 47 ways as a sum of consecutive naturals, for example, 7487989 + ... + 7488011.

Almost surely, 2^172224000 is an apocalyptic number.

172224000 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 172224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348540192).

172224000 is an abundant number, since it is smaller than the sum of its proper divisors (524856384).

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

172224000 is a wasteful number, since it uses less digits than its factorization.

172224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 172224000 is about 13123.4141899126. The cubic root of 172224000 is about 556.3710926033.

Adding to 172224000 its reverse (422271), we get a palindrome (172646271).

The spelling of 172224000 in words is "one hundred seventy-two million, two hundred twenty-four thousand".