72288944 has 80 divisors (see below), whose sum is σ = 174155520. Its totient is φ = 28304640.

The previous prime is 72288941. The next prime is 72288973. The reversal of 72288944 is 44988227.

It is a junction number, because it is equal to n+sod(n) for n = 72288895 and 72288904.

It is not an unprimeable number, because it can be changed into a prime (72288941) 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 15 ways as a sum of consecutive naturals, for example, 190547 + ... + 190925.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^72288944 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 72288944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

72288944 is an abundant number, since it is smaller than the sum of its proper divisors (101866576).

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

72288944 is a wasteful number, since it uses less digits than its factorization.

72288944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 72288944 is about 8502.2905149142. The cubic root of 72288944 is about 416.5725289908.

The spelling of 72288944 in words is "seventy-two million, two hundred eighty-eight thousand, nine hundred forty-four".