72226368 has 84 divisors (see below), whose sum is σ = 212681820. Its totient is φ = 23417856.

The previous prime is 72226367. The next prime is 72226393. The reversal of 72226368 is 86362227.

72226368 is a `hidden beast` number, since 72 + 226 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 4460544 = 8232^2 + 2112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72226367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19618 + ... + 23006.

Almost surely, 2^72226368 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 72226368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106340910).

72226368 is an abundant number, since it is smaller than the sum of its proper divisors (140455452).

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

72226368 is a wasteful number, since it uses less digits than its factorization.

72226368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3431 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72226368 is about 8498.6097686622. The cubic root of 72226368 is about 416.4522940632.

The spelling of 72226368 in words is "seventy-two million, two hundred twenty-six thousand, three hundred sixty-eight".