72229320 has 112 divisors (see below), whose sum is σ = 243760860. Its totient is φ = 19253376.

The previous prime is 72229273. The next prime is 72229321. The reversal of 72229320 is 2392227.

It can be written as a sum of positive squares in 2 ways, for example, as 71876484 + 352836 = 8478^2 + 594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72229321) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 27922 + ... + 30398.

Almost surely, 2^72229320 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 72229320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121880430).

72229320 is an abundant number, since it is smaller than the sum of its proper divisors (171531540).

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

72229320 is a wasteful number, since it uses less digits than its factorization.

72229320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72229320 is about 8498.7834423522. The cubic root of 72229320 is about 416.4579676626.

The spelling of 72229320 in words is "seventy-two million, two hundred twenty-nine thousand, three hundred twenty".