72249268 has 48 divisors (see below), whose sum is σ = 157803520. Its totient is φ = 28180224.

The previous prime is 72249263. The next prime is 72249277. The reversal of 72249268 is 86294227.

It is a self number, because there is not a number n which added to its sum of digits gives 72249268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72249263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25213 + ... + 27931.

Almost surely, 2^72249268 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 72249268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78901760).

72249268 is an abundant number, since it is smaller than the sum of its proper divisors (85554252).

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

72249268 is a wasteful number, since it uses less digits than its factorization.

72249268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2814 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 72249268 is about 8499.9569410674. The cubic root of 72249268 is about 416.4963026899.

The spelling of 72249268 in words is "seventy-two million, two hundred forty-nine thousand, two hundred sixty-eight".