206433072 has 60 divisors (see below), whose sum is σ = 583721320. Its totient is φ = 68097024.

The previous prime is 206433037. The next prime is 206433077. The reversal of 206433072 is 270334602.

206433072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206433072² = 85229226430714368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206433077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6579 + ... + 21357.

Almost surely, 2^206433072 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 206433072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291860660).

206433072 is an abundant number, since it is smaller than the sum of its proper divisors (377288248).

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

206433072 is a wasteful number, since it uses less digits than its factorization.

206433072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14890 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 206433072 is about 14367.7789515290. The cubic root of 206433072 is about 591.0076355872.

Adding to 206433072 its reverse (270334602), we get a palindrome (476767674).

The spelling of 206433072 in words is "two hundred six million, four hundred thirty-three thousand, seventy-two".