72212224 has 72 divisors (see below), whose sum is σ = 167771520. Its totient is φ = 30379008.

The previous prime is 72212213. The next prime is 72212279. The reversal of 72212224 is 42221227.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72212195 and 72212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105387 + ... + 106069.

It is an arithmetic number, because the mean of its divisors is an integer number (2330160).

Almost surely, 2^72212224 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 72212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83885760).

72212224 is an abundant number, since it is smaller than the sum of its proper divisors (95559296).

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

72212224 is an equidigital number, since it uses as much as digits as its factorization.

72212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 72212224 is about 8497.7775918178. Note that the first 3 decimals coincide. The cubic root of 72212224 is about 416.4251078432.

The spelling of 72212224 in words is "seventy-two million, two hundred twelve thousand, two hundred twenty-four".