72244224 has 220 divisors, whose sum is σ = 235798024. Its totient is φ = 21897216.

The previous prime is 72244201. The next prime is 72244241. The reversal of 72244224 is 42244227.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (7168) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078239 + ... + 1078305.

Almost surely, 2^72244224 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 72244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117899012).

72244224 is an abundant number, since it is smaller than the sum of its proper divisors (163553800).

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

72244224 is a wasteful number, since it uses less digits than its factorization.

72244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 72244224 is about 8499.6602285033. The cubic root of 72244224 is about 416.4866100601.

The spelling of 72244224 in words is "seventy-two million, two hundred forty-four thousand, two hundred twenty-four".