72224329 has 8 divisors (see below), whose sum is σ = 74232648. Its totient is φ = 70227840.

The previous prime is 72224311. The next prime is 72224351. The reversal of 72224329 is 92342227.

It can be written as a sum of positive squares in 4 ways, for example, as 855625 + 71368704 = 925^2 + 8448^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72224329 - 2²³ = 63835721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72224329.

It is not an unprimeable number, because it can be changed into a prime (72224309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10219 + ... + 15775.

It is an arithmetic number, because the mean of its divisors is an integer number (9279081).

Almost surely, 2^72224329 is an apocalyptic number.

It is an amenable number.

72224329 is a deficient number, since it is larger than the sum of its proper divisors (2008319).

72224329 is a wasteful number, since it uses less digits than its factorization.

72224329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915.

The product of its digits is 12096, while the sum is 31.

The square root of 72224329 is about 8498.4898070187. The cubic root of 72224329 is about 416.4483751149.

The spelling of 72224329 in words is "seventy-two million, two hundred twenty-four thousand, three hundred twenty-nine".