72226284 has 48 divisors (see below), whose sum is σ = 183230208. Its totient is φ = 22010688.

The previous prime is 72226267. The next prime is 72226291. The reversal of 72226284 is 48262227.

It is a super-2 number, since 2×72226284² = 10433272200897312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14529 + ... + 18855.

It is an arithmetic number, because the mean of its divisors is an integer number (3817296).

Almost surely, 2^72226284 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 72226284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91615104).

72226284 is an abundant number, since it is smaller than the sum of its proper divisors (111003924).

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

72226284 is a wasteful number, since it uses less digits than its factorization.

72226284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4452 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 72226284 is about 8498.6048266760. The cubic root of 72226284 is about 416.4521326171.

The spelling of 72226284 in words is "seventy-two million, two hundred twenty-six thousand, two hundred eighty-four".