168813072 has 140 divisors (see below), whose sum is σ = 503772444. Its totient is φ = 54743040.

The previous prime is 168813067. The next prime is 168813083. The reversal of 168813072 is 270318861.

It can be written as a sum of positive squares in 2 ways, for example, as 32764176 + 136048896 = 5724^2 + 11664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 478048 + ... + 478400.

Almost surely, 2^168813072 is an apocalyptic number.

168813072 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 168813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251886222).

168813072 is an abundant number, since it is smaller than the sum of its proper divisors (334959372).

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

168813072 is an equidigital number, since it uses as much as digits as its factorization.

168813072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 168813072 is about 12992.8084723819. The cubic root of 168813072 is about 552.6735634010.

The spelling of 168813072 in words is "one hundred sixty-eight million, eight hundred thirteen thousand, seventy-two".