200072064 has 32 divisors (see below), whose sum is σ = 531442440. Its totient is φ = 66690560.

The previous prime is 200072063. The next prime is 200072083. The reversal of 200072064 is 460270002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 200072064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200072063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 260127 + ... + 260894.

Almost surely, 2^200072064 is an apocalyptic number.

200072064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200072064 is an abundant number, since it is smaller than the sum of its proper divisors (331370376).

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

200072064 is an equidigital number, since it uses as much as digits as its factorization.

200072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521038 (or 521026 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 200072064 is about 14144.6832414162. The cubic root of 200072064 is about 584.8737780129.

The spelling of 200072064 in words is "two hundred million, seventy-two thousand, sixty-four".