172245427200 has 2376 divisors, whose sum is σ = 835104273120. Its totient is φ = 33443020800.

The previous prime is 172245427199. The next prime is 172245427223. The reversal of 172245427200 is 2724542271.

172245427200 is a `hidden beast` number, since 1 + 7 + 2 + 24 + 5 + 427 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2359526364 + ... + 2359526436.

Almost surely, 2^172245427200 is an apocalyptic number.

172245427200 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 172245427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417552136560).

172245427200 is an abundant number, since it is smaller than the sum of its proper divisors (662858845920).

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

172245427200 is a wasteful number, since it uses less digits than its factorization.

172245427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

Adding to 172245427200 its reverse (2724542271), we get a palindrome (174969969471).

The spelling of 172245427200 in words is "one hundred seventy-two billion, two hundred forty-five million, four hundred twenty-seven thousand, two hundred".