72388288 has 84 divisors (see below), whose sum is σ = 171477432. Its totient is φ = 30213120.

The previous prime is 72388279. The next prime is 72388289. The reversal of 72388288 is 88288327.

It is not an unprimeable number, because it can be changed into a prime (72388289) 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, 128295 + ... + 128857.

It is an arithmetic number, because the mean of its divisors is an integer number (2041398).

Almost surely, 2^72388288 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 72388288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85738716).

72388288 is an abundant number, since it is smaller than the sum of its proper divisors (99089144).

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

72388288 is a wasteful number, since it uses less digits than its factorization.

72388288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 613 counting only the distinct ones).

The product of its digits is 344064, while the sum is 46.

The square root of 72388288 is about 8508.1306995133. The cubic root of 72388288 is about 416.7632683395.

The spelling of 72388288 in words is "seventy-two million, three hundred eighty-eight thousand, two hundred eighty-eight".