72183810616200 has 432 divisors, whose sum is σ = 251411144719020. Its totient is φ = 18559616624640.

The previous prime is 72183810616111. The next prime is 72183810616201. The reversal of 72183810616200 is 261601838127.

72183810616200 is a `hidden beast` number, since 7 + 2 + 1 + 8 + 3 + 8 + 1 + 0 + 616 + 20 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 639516891204 + 71544293724996 = 799698^2 + 8458386^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72183810616201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1109582874 + ... + 1109647926.

Almost surely, 2^{72183810616200} 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 72183810616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125705572359510).

72183810616200 is an abundant number, since it is smaller than the sum of its proper divisors (179227334102820).

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

72183810616200 is a wasteful number, since it uses less digits than its factorization.

72183810616200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65866 (or 65825 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 72183810616200 in words is "seventy-two trillion, one hundred eighty-three billion, eight hundred ten million, six hundred sixteen thousand, two hundred".