72544320 has 84 divisors (see below), whose sum is σ = 249532140. Its totient is φ = 19344384.

The previous prime is 72544301. The next prime is 72544327. The reversal of 72544320 is 2344527.

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 20358144 = 7224^2 + 4512^2 .

It is not an unprimeable number, because it can be changed into a prime (72544327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9715 + ... + 15474.

Almost surely, 2^72544320 is an apocalyptic number.

It is an amenable number.

72544320 is an abundant number, since it is smaller than the sum of its proper divisors (176987820).

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

72544320 is a wasteful number, since it uses less digits than its factorization.

72544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25212 (or 25199 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 72544320 is about 8517.2953453547. The cubic root of 72544320 is about 417.0624960246.

Adding to 72544320 its reverse (2344527), we get a palindrome (74888847).

The spelling of 72544320 in words is "seventy-two million, five hundred forty-four thousand, three hundred twenty".