172004467200 has 480 divisors, whose sum is σ = 591548424192. Its totient is φ = 44009472000.

The previous prime is 172004467181. The next prime is 172004467213. The reversal of 172004467200 is 2764400271.

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

It is an unprimeable number.

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, 155941849 + ... + 155942951.

Almost surely, 2^172004467200 is an apocalyptic number.

172004467200 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 172004467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295774212096).

172004467200 is an abundant number, since it is smaller than the sum of its proper divisors (419543956992).

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

172004467200 is a wasteful number, since it uses less digits than its factorization.

172004467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

Adding to 172004467200 its reverse (2764400271), we get a palindrome (174768867471).

The spelling of 172004467200 in words is "one hundred seventy-two billion, four million, four hundred sixty-seven thousand, two hundred".