72460153928 has 36 divisors (see below), whose sum is σ = 143418445065. Its totient is φ = 34316378496.

The previous prime is 72460153901. The next prime is 72460153963. The reversal of 72460153928 is 82935106427.

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 72402970084 + 57183844 = 269078^2 + 7562^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190342.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14463488 + ... + 14468496.

It is a 2-persistent number, because it is pandigital, and so is 2⋅72460153928 = 144920307856, but 3⋅72460153928 = 217380461784 is not.

Almost surely, 2^72460153928 is an apocalyptic number.

It is an amenable number.

72460153928 is a deficient number, since it is larger than the sum of its proper divisors (70958291137).

72460153928 is an frugal number, since it uses more digits than its factorization.

72460153928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10062 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 72460153928 in words is "seventy-two billion, four hundred sixty million, one hundred fifty-three thousand, nine hundred twenty-eight".