72201300 has 144 divisors (see below), whose sum is σ = 222277440. Its totient is φ = 18063360.

The previous prime is 72201299. The next prime is 72201383. The reversal of 72201300 is 310227.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72201300.

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, 374004 + ... + 374196.

Almost surely, 2^72201300 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 72201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111138720).

72201300 is an abundant number, since it is smaller than the sum of its proper divisors (150076140).

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

72201300 is a wasteful number, since it uses less digits than its factorization.

72201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 72201300 is about 8497.1348112172. The cubic root of 72201300 is about 416.4041083641.

Adding to 72201300 its reverse (310227), we get a palindrome (72511527).

The spelling of 72201300 in words is "seventy-two million, two hundred one thousand, three hundred".