168403872 has 192 divisors, whose sum is σ = 559851264. Its totient is φ = 43130880.

The previous prime is 168403871. The next prime is 168403891. The reversal of 168403872 is 278304861.

168403872 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 168403872.

It is not an unprimeable number, because it can be changed into a prime (168403871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322972 + ... + 323492.

It is an arithmetic number, because the mean of its divisors is an integer number (2915892).

Almost surely, 2^168403872 is an apocalyptic number.

168403872 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 168403872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279925632).

168403872 is an abundant number, since it is smaller than the sum of its proper divisors (391447392).

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

168403872 is a wasteful number, since it uses less digits than its factorization.

168403872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 168403872 is about 12977.0517452925. The cubic root of 168403872 is about 552.2266450096.

The spelling of 168403872 in words is "one hundred sixty-eight million, four hundred three thousand, eight hundred seventy-two".