736225200 has 300 divisors, whose sum is σ = 2731208128. Its totient is φ = 189734400.

The previous prime is 736225181. The next prime is 736225207. The reversal of 736225200 is 2522637.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (736225207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1004034 + ... + 1004766.

Almost surely, 2^736225200 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 736225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365604064).

736225200 is an abundant number, since it is smaller than the sum of its proper divisors (1994982928).

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

736225200 is a wasteful number, since it uses less digits than its factorization.

736225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 736225200 is about 27133.4701061254. The cubic root of 736225200 is about 902.9635640534.

Adding to 736225200 its reverse (2522637), we get a palindrome (738747837).

The spelling of 736225200 in words is "seven hundred thirty-six million, two hundred twenty-five thousand, two hundred".