72408440 has 64 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 25159680.

The previous prime is 72408421. The next prime is 72408443. The reversal of 72408440 is 4480427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72408443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4745 + ... + 12935.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2^72408440 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 72408440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

72408440 is an abundant number, since it is smaller than the sum of its proper divisors (113386120).

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

72408440 is a wasteful number, since it uses less digits than its factorization.

72408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 72408440 is about 8509.3148960419. The cubic root of 72408440 is about 416.8019386566.

Adding to 72408440 its reverse (4480427), we get a palindrome (76888867).

The spelling of 72408440 in words is "seventy-two million, four hundred eight thousand, four hundred forty".