206072512 has 56 divisors (see below), whose sum is σ = 423078656. Its totient is φ = 99525888.

The previous prime is 206072509. The next prime is 206072539. The reversal of 206072512 is 215270602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283093 + ... + 283819.

It is an arithmetic number, because the mean of its divisors is an integer number (7554976).

Almost surely, 2^206072512 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 206072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211539328).

206072512 is an abundant number, since it is smaller than the sum of its proper divisors (217006144).

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

206072512 is a wasteful number, since it uses less digits than its factorization.

206072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 206072512 is about 14355.2259473684. The cubic root of 206072512 is about 590.6633466028.

The spelling of 206072512 in words is "two hundred six million, seventy-two thousand, five hundred twelve".