168315072 has 224 divisors, whose sum is σ = 509625600. Its totient is φ = 48771072.

The previous prime is 168315067. The next prime is 168315073. The reversal of 168315072 is 270513861.

It is not an unprimeable number, because it can be changed into a prime (168315073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3914283 + ... + 3914325.

Almost surely, 2^168315072 is an apocalyptic number.

168315072 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 168315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254812800).

168315072 is an abundant number, since it is smaller than the sum of its proper divisors (341310528).

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

168315072 is a wasteful number, since it uses less digits than its factorization.

168315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 168315072 is about 12973.6298698552. The cubic root of 168315072 is about 552.1295642096.

The spelling of 168315072 in words is "one hundred sixty-eight million, three hundred fifteen thousand, seventy-two".