72603356560 has 640 divisors, whose sum is σ = 222122926080. Its totient is φ = 21499084800.

The previous prime is 72603356557. The next prime is 72603356569. The reversal of 72603356560 is 6565330627.

It is not an unprimeable number, because it can be changed into a prime (72603356569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 666085786 + ... + 666085894.

It is an arithmetic number, because the mean of its divisors is an integer number (347067072).

Almost surely, 2^72603356560 is an apocalyptic number.

72603356560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72603356560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111061463040).

72603356560 is an abundant number, since it is smaller than the sum of its proper divisors (149519569520).

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

72603356560 is a wasteful number, since it uses less digits than its factorization.

72603356560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 72603356560 in words is "seventy-two billion, six hundred three million, three hundred fifty-six thousand, five hundred sixty".