72248868 has 96 divisors (see below), whose sum is σ = 199382400. Its totient is φ = 22560768.

The previous prime is 72248867. The next prime is 72248881. The reversal of 72248868 is 86884227.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72248867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280996 + ... + 281252.

It is an arithmetic number, because the mean of its divisors is an integer number (2076900).

Almost surely, 2^72248868 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 72248868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99691200).

72248868 is an abundant number, since it is smaller than the sum of its proper divisors (127133532).

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

72248868 is a wasteful number, since it uses less digits than its factorization.

72248868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 72248868 is about 8499.9334115039. The cubic root of 72248868 is about 416.4955340601.

The spelling of 72248868 in words is "seventy-two million, two hundred forty-eight thousand, eight hundred sixty-eight".