72430200 has 240 divisors, whose sum is σ = 267371280. Its totient is φ = 18109440.

The previous prime is 72430157. The next prime is 72430207. The reversal of 72430200 is 203427.

It is a happy number.

It is a super-2 number, since 2×72430200² = 10492267744080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72430207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275269 + ... + 275531.

It is an arithmetic number, because the mean of its divisors is an integer number (1114047).

Almost surely, 2^72430200 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 72430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133685640).

72430200 is an abundant number, since it is smaller than the sum of its proper divisors (194941080).

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

72430200 is a wasteful number, since it uses less digits than its factorization.

72430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72430200 is about 8510.5933988177. The cubic root of 72430200 is about 416.8436865606.

Adding to 72430200 its reverse (203427), we get a palindrome (72633627).

The spelling of 72430200 in words is "seventy-two million, four hundred thirty thousand, two hundred".