72296224 has 192 divisors, whose sum is σ = 199487232. Its totient is φ = 24883200.

The previous prime is 72296221. The next prime is 72296227. The reversal of 72296224 is 42269227.

It is an interprime number because it is at equal distance from previous prime (72296221) and next prime (72296227).

It is a self number, because there is not a number n which added to its sum of digits gives 72296224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72296221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1185154 + ... + 1185214.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^72296224 is an apocalyptic number.

72296224 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72296224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

72296224 is an abundant number, since it is smaller than the sum of its proper divisors (127191008).

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

72296224 is a wasteful number, since it uses less digits than its factorization.

72296224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 131 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 72296224 is about 8502.7186240637. The cubic root of 72296224 is about 416.5865124395.

The spelling of 72296224 in words is "seventy-two million, two hundred ninety-six thousand, two hundred twenty-four".