72498227328 has 72 divisors (see below), whose sum is σ = 208647502245. Its totient is φ = 24163029504.

The previous prime is 72498227237. The next prime is 72498227369. The reversal of 72498227328 is 82372289427.

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.

72498227328 is a `hidden beast` number, since 7 + 2 + 4 + 98 + 227 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68975567424 + 3522659904 = 262632^2 + 59352^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190392.

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, 9134850 + ... + 9142782.

Almost surely, 2^72498227328 is an apocalyptic number.

It is an amenable number.

72498227328 is an abundant number, since it is smaller than the sum of its proper divisors (136149274917).

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

72498227328 is an frugal number, since it uses more digits than its factorization.

72498227328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886 (or 7938 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 72498227328 in words is "seventy-two billion, four hundred ninety-eight million, two hundred twenty-seven thousand, three hundred twenty-eight".