168012720 has 120 divisors (see below), whose sum is σ = 567262800. Its totient is φ = 44563968.

The previous prime is 168012679. The next prime is 168012731. The reversal of 168012720 is 27210861.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164371 + ... + 165389.

It is an arithmetic number, because the mean of its divisors is an integer number (4727190).

Almost surely, 2^168012720 is an apocalyptic number.

168012720 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 168012720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283631400).

168012720 is an abundant number, since it is smaller than the sum of its proper divisors (399250080).

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

168012720 is a wasteful number, since it uses less digits than its factorization.

168012720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 168012720 is about 12961.9720721810. The cubic root of 168012720 is about 551.7987609230.

It can be divided in two parts, 1680 and 12720, that added together give a square (14400 = 120²).

The spelling of 168012720 in words is "one hundred sixty-eight million, twelve thousand, seven hundred twenty".