168072060 has 96 divisors (see below), whose sum is σ = 510515712. Its totient is φ = 41068800.

The previous prime is 168072059. The next prime is 168072077. The reversal of 168072060 is 60270861.

It is a happy number.

168072060 is digitally balanced in base 3, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117067 + ... + 118493.

It is an arithmetic number, because the mean of its divisors is an integer number (5317872).

Almost surely, 2^168072060 is an apocalyptic number.

168072060 is a gapful number since it is divisible by the number (10) 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 168072060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255257856).

168072060 is an abundant number, since it is smaller than the sum of its proper divisors (342443652).

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

168072060 is a wasteful number, since it uses less digits than its factorization.

168072060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 168072060 is about 12964.2608736480. The cubic root of 168072060 is about 551.8637160929.

The spelling of 168072060 in words is "one hundred sixty-eight million, seventy-two thousand, sixty".