200772 has 72 divisors (see below), whose sum is σ = 614880. Its totient is φ = 56160.

The previous prime is 200771. The next prime is 200779. The reversal of 200772 is 277002.

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

It is not an unprimeable number, because it can be changed into a prime (200771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15438 + ... + 15450.

It is an arithmetic number, because the mean of its divisors is an integer number (8540).

2²⁰⁰⁷⁷² is an apocalyptic number.

200772 is a gapful number since it is divisible by the number (22) 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 200772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307440).

200772 is an abundant number, since it is smaller than the sum of its proper divisors (414108).

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

200772 is a wasteful number, since it uses less digits than its factorization.

200772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 29 counting only the distinct ones).

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

The square root of 200772 is about 448.0758864300. The cubic root of 200772 is about 58.5555028796. Note that the first 4 decimals are identical.

Adding to 200772 its reverse (277002), we get a palindrome (477774).

The spelling of 200772 in words is "two hundred thousand, seven hundred seventy-two", and thus it is an iban number.