72603965632 has 112 divisors (see below), whose sum is σ = 161300160000. Its totient is φ = 32143887360.

The previous prime is 72603965587. The next prime is 72603965641. The reversal of 72603965632 is 23656930627.

It is a super-3 number, since 3×72603965632³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5179369 + ... + 5193367.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180000).

Almost surely, 2^72603965632 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 72603965632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080000).

72603965632 is an abundant number, since it is smaller than the sum of its proper divisors (88696194368).

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

72603965632 is a wasteful number, since it uses less digits than its factorization.

72603965632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14214 (or 14204 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 49.

The spelling of 72603965632 in words is "seventy-two billion, six hundred three million, nine hundred sixty-five thousand, six hundred thirty-two".