84072168 has 96 divisors (see below), whose sum is σ = 240458400. Its totient is φ = 27511488.

The previous prime is 84072167. The next prime is 84072179. The reversal of 84072168 is 86127048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84072161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114330 + ... + 115062.

It is an arithmetic number, because the mean of its divisors is an integer number (2504775).

Almost surely, 2^84072168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84072168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120229200).

84072168 is an abundant number, since it is smaller than the sum of its proper divisors (156386232).

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

84072168 is a wasteful number, since it uses less digits than its factorization.

84072168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 84072168 is about 9169.0876318203. The cubic root of 84072168 is about 438.0772991739.

The spelling of 84072168 in words is "eighty-four million, seventy-two thousand, one hundred sixty-eight".