168885072 has 120 divisors (see below), whose sum is σ = 526930560. Its totient is φ = 50181120.

The previous prime is 168885071. The next prime is 168885077. The reversal of 168885072 is 270588861.

168885072 is a `hidden beast` number, since 1 + 68 + 88 + 507 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168885071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44697 + ... + 48327.

It is an arithmetic number, because the mean of its divisors is an integer number (4391088).

Almost surely, 2^168885072 is an apocalyptic number.

168885072 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 168885072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263465280).

168885072 is an abundant number, since it is smaller than the sum of its proper divisors (358045488).

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

168885072 is a wasteful number, since it uses less digits than its factorization.

168885072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 168885072 is about 12995.5789405474. The cubic root of 168885072 is about 552.7521253279.

The spelling of 168885072 in words is "one hundred sixty-eight million, eight hundred eighty-five thousand, seventy-two".