72288288 has 90 divisors (see below), whose sum is σ = 213878511. Its totient is φ = 23951808.

The previous prime is 72288257. The next prime is 72288317. The reversal of 72288288 is 88288227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 36144144 + 36144144 = 6012^2 + 6012^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6012.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 432781 + ... + 432947.

Almost surely, 2^72288288 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 72288288

72288288 is an abundant number, since it is smaller than the sum of its proper divisors (141590223).

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

72288288 is an equidigital number, since it uses as much as digits as its factorization.

72288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 172 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 72288288 is about 8502.2519369870. The cubic root of 72288288 is about 416.5712688977.

The spelling of 72288288 in words is "seventy-two million, two hundred eighty-eight thousand, two hundred eighty-eight".