72163116 has 96 divisors (see below), whose sum is σ = 196627200. Its totient is φ = 22861440.

The previous prime is 72163099. The next prime is 72163127. The reversal of 72163116 is 61136127.

72163116 is a `hidden beast` number, since 7 + 21 + 631 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72163116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190215 + ... + 190593.

It is an arithmetic number, because the mean of its divisors is an integer number (2048200).

Almost surely, 2^72163116 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 72163116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98313600).

72163116 is an abundant number, since it is smaller than the sum of its proper divisors (124464084).

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

72163116 is a wasteful number, since it uses less digits than its factorization.

72163116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 72163116 is about 8494.8876390450. The cubic root of 72163116 is about 416.3306896573.

The spelling of 72163116 in words is "seventy-two million, one hundred sixty-three thousand, one hundred sixteen".