200072825 has 12 divisors (see below), whose sum is σ = 254142588. Its totient is φ = 156153600.

The previous prime is 200072771. The next prime is 200072839. The reversal of 200072825 is 528270002.

It can be written as a sum of positive squares in 6 ways, for example, as 79138816 + 120934009 = 8896^2 + 10997^2 .

It is a de Polignac number, because none of the positive numbers 2^k-200072825 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200072794 and 200072803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96572 + ... + 98621.

It is an arithmetic number, because the mean of its divisors is an integer number (21178549).

Almost surely, 2^200072825 is an apocalyptic number.

200072825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

200072825 is a deficient number, since it is larger than the sum of its proper divisors (54069763).

200072825 is a wasteful number, since it uses less digits than its factorization.

200072825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195244 (or 195239 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 200072825 is about 14144.7101419577. The cubic root of 200072825 is about 584.8745195596.

The spelling of 200072825 in words is "two hundred million, seventy-two thousand, eight hundred twenty-five".