72247168 has 48 divisors (see below), whose sum is σ = 167443200. Its totient is φ = 30960384.

The previous prime is 72247121. The next prime is 72247171. The reversal of 72247168 is 86174227.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 513 + ... + 12031.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^72247168 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 72247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83721600).

72247168 is an abundant number, since it is smaller than the sum of its proper divisors (95196032).

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

72247168 is a wasteful number, since it uses less digits than its factorization.

72247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11547 (or 11528 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 72247168 is about 8499.8334101322. The cubic root of 72247168 is about 416.4922673517.

The spelling of 72247168 in words is "seventy-two million, two hundred forty-seven thousand, one hundred sixty-eight".