72330560 has 112 divisors (see below), whose sum is σ = 182422800. Its totient is φ = 27279360.

The previous prime is 72330527. The next prime is 72330569. The reversal of 72330560 is 6503327.

It can be written as a sum of positive squares in 8 ways, for example, as 8202496 + 64128064 = 2864^2 + 8008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72330569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485366 + ... + 485514.

It is an arithmetic number, because the mean of its divisors is an integer number (1628775).

Almost surely, 2^72330560 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 72330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91211400).

72330560 is an abundant number, since it is smaller than the sum of its proper divisors (110092240).

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

72330560 is a wasteful number, since it uses less digits than its factorization.

72330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 72330560 is about 8504.7375032978. The cubic root of 72330560 is about 416.6524524929.

Adding to 72330560 its reverse (6503327), we get a palindrome (78833887).

The spelling of 72330560 in words is "seventy-two million, three hundred thirty thousand, five hundred sixty".