200727072 has 480 divisors, whose sum is σ = 778643712. Its totient is φ = 49268736.

The previous prime is 200727031. The next prime is 200727073. The reversal of 200727072 is 270727002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200727073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5425038 + ... + 5425074.

Almost surely, 2^200727072 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 200727072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389321856).

200727072 is an abundant number, since it is smaller than the sum of its proper divisors (577916640).

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

200727072 is a wasteful number, since it uses less digits than its factorization.

200727072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 200727072 is about 14167.8181806515. The cubic root of 200727072 is about 585.5113477731.

The spelling of 200727072 in words is "two hundred million, seven hundred twenty-seven thousand, seventy-two".