72230403200 has 72 divisors (see below), whose sum is σ = 178469232465. Its totient is φ = 28886080000.

The previous prime is 72230403151. The next prime is 72230403227. The reversal of 72230403200 is 230403227.

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 2 ways, for example, as 70785795136 + 1444608064 = 266056^2 + 38008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190040.

It is a super-2 number, since 2×72230403200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 15200825 + ... + 15205575.

Almost surely, 2^72230403200 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 72230403200

72230403200 is an abundant number, since it is smaller than the sum of its proper divisors (106238829265).

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

72230403200 is an frugal number, since it uses more digits than its factorization.

72230403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

Adding to 72230403200 its reverse (230403227), we get a palindrome (72460806427).

The spelling of 72230403200 in words is "seventy-two billion, two hundred thirty million, four hundred three thousand, two hundred".