72516168 has 64 divisors (see below), whose sum is σ = 203284800. Its totient is φ = 23950080.

The previous prime is 72516149. The next prime is 72516173. The reversal of 72516168 is 86161527.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22923 + ... + 25893.

It is an arithmetic number, because the mean of its divisors is an integer number (3176325).

Almost surely, 2^72516168 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 72516168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101642400).

72516168 is an abundant number, since it is smaller than the sum of its proper divisors (130768632).

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

72516168 is a wasteful number, since it uses less digits than its factorization.

72516168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3089 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 72516168 is about 8515.6425476883. The cubic root of 72516168 is about 417.0085397558.

The spelling of 72516168 in words is "seventy-two million, five hundred sixteen thousand, one hundred sixty-eight".