72208224 has 144 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 20908800.

The previous prime is 72208219. The next prime is 72208229. The reversal of 72208224 is 42280227.

It is an interprime number because it is at equal distance from previous prime (72208219) and next prime (72208229).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×72208224² = 10428055226468352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72208229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72369 + ... + 73359.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^72208224 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 72208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

72208224 is an abundant number, since it is smaller than the sum of its proper divisors (161776800).

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

72208224 is a wasteful number, since it uses less digits than its factorization.

72208224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72208224 is about 8497.5422329048. The cubic root of 72208224 is about 416.4174187887.

The spelling of 72208224 in words is "seventy-two million, two hundred eight thousand, two hundred twenty-four".