206166072 has 128 divisors (see below), whose sum is σ = 640880640. Its totient is φ = 53913600.

The previous prime is 206166071. The next prime is 206166073. The reversal of 206166072 is 270661602.

206166072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (206166071) and next prime (206166073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206166071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104697 + ... + 106647.

It is an arithmetic number, because the mean of its divisors is an integer number (5006880).

Almost surely, 2^206166072 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 206166072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320440320).

206166072 is an abundant number, since it is smaller than the sum of its proper divisors (434714568).

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

206166072 is a wasteful number, since it uses less digits than its factorization.

206166072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 206166072 is about 14358.4843211253. The cubic root of 206166072 is about 590.7527230735.

It can be divided in two parts, 20616607 and 2, that multiplied together give a palindrome (41233214).

The spelling of 206166072 in words is "two hundred six million, one hundred sixty-six thousand, seventy-two".