72330554320200 has 432 divisors, whose sum is σ = 267033793053300. Its totient is φ = 17532484992000.

The previous prime is 72330554320183. The next prime is 72330554320201. The reversal of 72330554320200 is 202345503327.

72330554320200 is a `hidden beast` number, since 7 + 2 + 3 + 305 + 5 + 4 + 320 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14679365425956 + 57651188894244 = 3831366^2 + 7592838^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72330554320201) 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, 2349828810 + ... + 2349859590.

Almost surely, 2^{72330554320200} 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 72330554320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133516896526650).

72330554320200 is an abundant number, since it is smaller than the sum of its proper divisors (194703238733100).

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

72330554320200 is a wasteful number, since it uses less digits than its factorization.

72330554320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41614 (or 41591 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

Adding to 72330554320200 its reverse (202345503327), we get a palindrome (72532899823527).

The spelling of 72330554320200 in words is "seventy-two trillion, three hundred thirty billion, five hundred fifty-four million, three hundred twenty thousand, two hundred".