72180168 has 16 divisors (see below), whose sum is σ = 180450480. Its totient is φ = 24060048.

The previous prime is 72180161. The next prime is 72180193. The reversal of 72180168 is 86108127.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72180161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1503730 + ... + 1503777.

It is an arithmetic number, because the mean of its divisors is an integer number (11278155).

Almost surely, 2^72180168 is an apocalyptic number.

It is an amenable number.

72180168 is an abundant number, since it is smaller than the sum of its proper divisors (108270312).

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

72180168 is a wasteful number, since it uses less digits than its factorization.

72180168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007516 (or 3007512 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 72180168 is about 8495.8912422417. The cubic root of 72180168 is about 416.3634797778.

The spelling of 72180168 in words is "seventy-two million, one hundred eighty thousand, one hundred sixty-eight".