168039072 has 36 divisors (see below), whose sum is σ = 477861930. Its totient is φ = 56012928.

The previous prime is 168039013. The next prime is 168039077. The reversal of 168039072 is 270930861.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 17338896 = 12276^2 + 4164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (168039077) 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 5 ways as a sum of consecutive naturals, for example, 291447 + ... + 292022.

Almost surely, 2^168039072 is an apocalyptic number.

168039072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168039072 is an abundant number, since it is smaller than the sum of its proper divisors (309822858).

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

168039072 is a wasteful number, since it uses less digits than its factorization.

168039072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583485 (or 583474 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 168039072 is about 12962.9885443134. The cubic root of 168039072 is about 551.8276084229.

The spelling of 168039072 in words is "one hundred sixty-eight million, thirty-nine thousand, seventy-two".