72168576600 has 192 divisors, whose sum is σ = 240981719040. Its totient is φ = 17814297600.

The previous prime is 72168576593. The next prime is 72168576617. The reversal of 72168576600 is 667586127.

It is a self number, because there is not a number n which added to its sum of digits gives 72168576600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343452 + ... + 512148.

It is an arithmetic number, because the mean of its divisors is an integer number (1255113120).

Almost surely, 2^72168576600 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 72168576600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120490859520).

72168576600 is an abundant number, since it is smaller than the sum of its proper divisors (168813142440).

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

72168576600 is a wasteful number, since it uses less digits than its factorization.

72168576600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168770 (or 168761 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 72168576600 in words is "seventy-two billion, one hundred sixty-eight million, five hundred seventy-six thousand, six hundred".