72603640648 has 144 divisors (see below), whose sum is σ = 176522068800. Its totient is φ = 27887428800.

The previous prime is 72603640633. The next prime is 72603640657. The reversal of 72603640648 is 84604630627.

It is a super-3 number, since 3×72603640648³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72603640598 and 72603640607.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3356893 + ... + 3378451.

It is an arithmetic number, because the mean of its divisors is an integer number (1225847700).

Almost surely, 2^72603640648 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 72603640648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88261034400).

72603640648 is an abundant number, since it is smaller than the sum of its proper divisors (103918428152).

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

72603640648 is a wasteful number, since it uses less digits than its factorization.

72603640648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21672 (or 21650 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 72603640648 in words is "seventy-two billion, six hundred three million, six hundred forty thousand, six hundred forty-eight".