200772000 has 576 divisors, whose sum is σ = 863291520. Its totient is φ = 44928000.

The previous prime is 200771983. The next prime is 200772001. The reversal of 200772000 is 277002.

200772000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200772001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15443994 + ... + 15444006.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 2^200772000 is an apocalyptic number.

200772000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431645760).

200772000 is an abundant number, since it is smaller than the sum of its proper divisors (662519520).

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

200772000 is a wasteful number, since it uses less digits than its factorization.

200772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 200772000 is about 14169.4036571763. The cubic root of 200772000 is about 585.5550287959. Note that the first 3 decimals are identical.

The spelling of 200772000 in words is "two hundred million, seven hundred seventy-two thousand".