168130872 has 192 divisors, whose sum is σ = 570286080. Its totient is φ = 43566336.

The previous prime is 168130861. The next prime is 168130877. The reversal of 168130872 is 278031861.

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 (168130877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438793 + ... + 439175.

It is an arithmetic number, because the mean of its divisors is an integer number (2970240).

Almost surely, 2^168130872 is an apocalyptic number.

168130872 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 168130872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285143040).

168130872 is an abundant number, since it is smaller than the sum of its proper divisors (402155208).

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

168130872 is a wasteful number, since it uses less digits than its factorization.

168130872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 168130872 is about 12966.5289110078. The cubic root of 168130872 is about 551.9280782161.

The spelling of 168130872 in words is "one hundred sixty-eight million, one hundred thirty thousand, eight hundred seventy-two".