203072 has 28 divisors (see below), whose sum is σ = 426720. Its totient is φ = 95616.

The previous prime is 203057. The next prime is 203117. The reversal of 203072 is 270302.

203072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203072.

It is an unprimeable number.

203072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1133 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (15240).

2²⁰³⁰⁷² 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 203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213360).

203072 is an abundant number, since it is smaller than the sum of its proper divisors (223648).

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

203072 is a wasteful number, since it uses less digits than its factorization.

203072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 203072 is about 450.6351073762. The cubic root of 203072 is about 58.7782541026.

Adding to 203072 its reverse (270302), we get a palindrome (473374).

The spelling of 203072 in words is "two hundred three thousand, seventy-two", and thus it is an iban number.