168160752 has 80 divisors (see below), whose sum is σ = 487781280. Its totient is φ = 55461888.

The previous prime is 168160723. The next prime is 168160757. The reversal of 168160752 is 257061861.

168160752 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168160757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39898 + ... + 43910.

It is an arithmetic number, because the mean of its divisors is an integer number (6097266).

Almost surely, 2^168160752 is an apocalyptic number.

168160752 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 168160752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243890640).

168160752 is an abundant number, since it is smaller than the sum of its proper divisors (319620528).

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

168160752 is a wasteful number, since it uses less digits than its factorization.

168160752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 168160752 is about 12967.6810571513. The cubic root of 168160752 is about 551.9607722596.

The spelling of 168160752 in words is "one hundred sixty-eight million, one hundred sixty thousand, seven hundred fifty-two".