72730200 has 96 divisors (see below), whose sum is σ = 230788800. Its totient is φ = 18936960.

The previous prime is 72730193. The next prime is 72730211. The reversal of 72730200 is 203727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24391 + ... + 27209.

It is an arithmetic number, because the mean of its divisors is an integer number (2404050).

Almost surely, 2^72730200 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 72730200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115394400).

72730200 is an abundant number, since it is smaller than the sum of its proper divisors (158058600).

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

72730200 is a wasteful number, since it uses less digits than its factorization.

72730200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 72730200 is about 8528.2002790741. The cubic root of 72730200 is about 417.4184046980.

Adding to 72730200 its reverse (203727), we get a palindrome (72933927).

The spelling of 72730200 in words is "seventy-two million, seven hundred thirty thousand, two hundred".