72648168 has 64 divisors (see below), whose sum is σ = 194693760. Its totient is φ = 22530816.

The previous prime is 72648137. The next prime is 72648179. The reversal of 72648168 is 86184627.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18646 + ... + 22202.

It is an arithmetic number, because the mean of its divisors is an integer number (3042090).

Almost surely, 2^72648168 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 72648168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97346880).

72648168 is an abundant number, since it is smaller than the sum of its proper divisors (122045592).

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

72648168 is a wasteful number, since it uses less digits than its factorization.

72648168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3622 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 72648168 is about 8523.3894666383. The cubic root of 72648168 is about 417.2614110039.

The spelling of 72648168 in words is "seventy-two million, six hundred forty-eight thousand, one hundred sixty-eight".