168225402072 has 128 divisors (see below), whose sum is σ = 517767667200. Its totient is φ = 44354193408.

The previous prime is 168225402041. The next prime is 168225402143. The reversal of 168225402072 is 270204522861.

168225402072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 168225402072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9205168 + ... + 9223424.

It is an arithmetic number, because the mean of its divisors is an integer number (4045059900).

Almost surely, 2^168225402072 is an apocalyptic number.

168225402072 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 168225402072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258883833600).

168225402072 is an abundant number, since it is smaller than the sum of its proper divisors (349542265128).

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

168225402072 is a wasteful number, since it uses less digits than its factorization.

168225402072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22505 (or 22501 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 168225402072 in words is "one hundred sixty-eight billion, two hundred twenty-five million, four hundred two thousand, seventy-two".