168718752 has 72 divisors (see below), whose sum is σ = 496363140. Its totient is φ = 54297600.

The previous prime is 168718747. The next prime is 168718787. The reversal of 168718752 is 257817861.

It is a happy number.

168718752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 146023056 + 22695696 = 12084^2 + 4764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 168718698 and 168718707.

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 11 ways as a sum of consecutive naturals, for example, 1749 + ... + 18452.

Almost surely, 2^168718752 is an apocalyptic number.

168718752 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 168718752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248181570).

168718752 is an abundant number, since it is smaller than the sum of its proper divisors (327644388).

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

168718752 is a wasteful number, since it uses less digits than its factorization.

168718752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246 (or 20235 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 168718752 is about 12989.1782650020. The cubic root of 168718752 is about 552.5706134708.

The spelling of 168718752 in words is "one hundred sixty-eight million, seven hundred eighteen thousand, seven hundred fifty-two".