172032000000 has 560 divisors, whose sum is σ = 655350986400. Its totient is φ = 39321600000.

The previous prime is 172031999977. The next prime is 172032000001. The reversal of 172032000000 is 230271.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (172032000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24575999997 + ... + 24576000003.

Almost surely, 2^172032000000 is an apocalyptic number.

172032000000 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 172032000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327675493200).

172032000000 is an abundant number, since it is smaller than the sum of its proper divisors (483318986400).

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

172032000000 is an frugal number, since it uses more digits than its factorization.

172032000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

Adding to 172032000000 its reverse (230271), we get a palindrome (172032230271).

The spelling of 172032000000 in words is "one hundred seventy-two billion, thirty-two million", and thus it is an aban number.