168078672 has 80 divisors (see below), whose sum is σ = 484840000. Its totient is φ = 55748736.

The previous prime is 168078671. The next prime is 168078697. The reversal of 168078672 is 276870861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168078671) 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, 98079 + ... + 99777.

It is an arithmetic number, because the mean of its divisors is an integer number (6060500).

Almost surely, 2^168078672 is an apocalyptic number.

168078672 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 168078672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242420000).

168078672 is an abundant number, since it is smaller than the sum of its proper divisors (316761328).

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

168078672 is a wasteful number, since it uses less digits than its factorization.

168078672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 168078672 is about 12964.5158798931. The cubic root of 168078672 is about 551.8709528203.

The spelling of 168078672 in words is "one hundred sixty-eight million, seventy-eight thousand, six hundred seventy-two".