72648085536 has 144 divisors (see below), whose sum is σ = 224985622680. Its totient is φ = 22101995520.

The previous prime is 72648085507. The next prime is 72648085577. The reversal of 72648085536 is 63558084627.

72648085536 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 80 + 8 + 553 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32560037136 + 40088048400 = 180444^2 + 200220^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 224206 + ... + 442226.

Almost surely, 2^72648085536 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 72648085536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492811340).

72648085536 is an abundant number, since it is smaller than the sum of its proper divisors (152337537144).

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

72648085536 is a wasteful number, since it uses less digits than its factorization.

72648085536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218139 (or 218128 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

Subtracting from 72648085536 its reverse (63558084627), we obtain a palindrome (9090000909).

The spelling of 72648085536 in words is "seventy-two billion, six hundred forty-eight million, eighty-five thousand, five hundred thirty-six".