72167118 has 8 divisors (see below), whose sum is σ = 144334248. Its totient is φ = 24055704.

The previous prime is 72167099. The next prime is 72167119. The reversal of 72167118 is 81176127.

It is a sphenic number, since it is the product of 3 distinct primes.

72167118 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72167119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6013921 + ... + 6013932.

It is an arithmetic number, because the mean of its divisors is an integer number (18041781).

Almost surely, 2^72167118 is an apocalyptic number.

72167118 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72167118 is a wasteful number, since it uses less digits than its factorization.

72167118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027858.

The product of its digits is 4704, while the sum is 33.

The square root of 72167118 is about 8495.1231892186. The cubic root of 72167118 is about 416.3383857617.

Subtracting 72167118 from its reverse (81176127), we obtain a palindrome (9009009).

The spelling of 72167118 in words is "seventy-two million, one hundred sixty-seven thousand, one hundred eighteen".