65475200 has 192 divisors, whose sum is σ = 192249600. Its totient is φ = 21565440.

The previous prime is 65475187. The next prime is 65475209. The reversal of 65475200 is 257456.

It is not an unprimeable number, because it can be changed into a prime (65475209) 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 23 ways as a sum of consecutive naturals, for example, 828761 + ... + 828839.

It is an arithmetic number, because the mean of its divisors is an integer number (1001300).

Almost surely, 2^65475200 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 65475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124800).

65475200 is an abundant number, since it is smaller than the sum of its proper divisors (126774400).

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

65475200 is a wasteful number, since it uses less digits than its factorization.

65475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 65475200 is about 8091.6747339472. The cubic root of 65475200 is about 403.0500177027.

The spelling of 65475200 in words is "sixty-five million, four hundred seventy-five thousand, two hundred".