172229921472 has 224 divisors, whose sum is σ = 536057270784. Its totient is φ = 47777587200.

The previous prime is 172229921429. The next prime is 172229921477. The reversal of 172229921472 is 274129922271.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (172229921477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11619538 + ... + 11634350.

It is an arithmetic number, because the mean of its divisors is an integer number (2393112816).

Almost surely, 2^172229921472 is an apocalyptic number.

172229921472 is a gapful number since it is divisible by the number (12) 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 172229921472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268028635392).

172229921472 is an abundant number, since it is smaller than the sum of its proper divisors (363827349312).

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

172229921472 is a wasteful number, since it uses less digits than its factorization.

172229921472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15087 (or 15077 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 172229921472 in words is "one hundred seventy-two billion, two hundred twenty-nine million, nine hundred twenty-one thousand, four hundred seventy-two".