72966643200 has 720 divisors, whose sum is σ = 289234737792. Its totient is φ = 17418240000.

The previous prime is 72966643171. The next prime is 72966643213. The reversal of 72966643200 is 234666927.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×72966643200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89970795 + ... + 89971605.

Almost surely, 2^72966643200 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 72966643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144617368896).

72966643200 is an abundant number, since it is smaller than the sum of its proper divisors (216268094592).

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

72966643200 is a wasteful number, since it uses less digits than its factorization.

72966643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 72966643200 in words is "seventy-two billion, nine hundred sixty-six million, six hundred forty-three thousand, two hundred".