66472200 has 72 divisors (see below), whose sum is σ = 223241850. Its totient is φ = 17725440.

The previous prime is 66472199. The next prime is 66472201. The reversal of 66472200 is 227466.

It is an interprime number because it is at equal distance from previous prime (66472199) and next prime (66472201).

It can be written as a sum of positive squares in 3 ways, for example, as 55621764 + 10850436 = 7458^2 + 3294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (66472201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16665 + ... + 20264.

Almost surely, 2^66472200 is an apocalyptic number.

66472200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66472200 is an abundant number, since it is smaller than the sum of its proper divisors (156769650).

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

66472200 is a wasteful number, since it uses less digits than its factorization.

66472200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36951 (or 36939 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66472200 is about 8153.0485096067. The cubic root of 66472200 is about 405.0854872125.

Adding to 66472200 its reverse (227466), we get a palindrome (66699666).

The spelling of 66472200 in words is "sixty-six million, four hundred seventy-two thousand, two hundred".