64472200 has 96 divisors (see below), whose sum is σ = 163505160. Its totient is φ = 23500800.

The previous prime is 64472183. The next prime is 64472201. The reversal of 64472200 is 227446.

64472200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3663396 + 60808804 = 1914^2 + 7798^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (64472201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356110 + ... + 356290.

Almost surely, 2^64472200 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 64472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81752580).

64472200 is an abundant number, since it is smaller than the sum of its proper divisors (99032960).

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

64472200 is a wasteful number, since it uses less digits than its factorization.

64472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 64472200 is about 8029.4582631707. The cubic root of 64472200 is about 400.9813404584.

Adding to 64472200 its reverse (227446), we get a palindrome (64699646).

The spelling of 64472200 in words is "sixty-four million, four hundred seventy-two thousand, two hundred".