206535072 has 96 divisors (see below), whose sum is σ = 556174080. Its totient is φ = 67092480.

The previous prime is 206535047. The next prime is 206535097. The reversal of 206535072 is 270535602.

206535072 is digitally balanced in base 2, 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 (206535047) and next prime (206535097).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856872 + ... + 857112.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2^206535072 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 206535072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

206535072 is an abundant number, since it is smaller than the sum of its proper divisors (349639008).

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

206535072 is a wasteful number, since it uses less digits than its factorization.

206535072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 206535072 is about 14371.3281223414. The cubic root of 206535072 is about 591.1049598713.

The spelling of 206535072 in words is "two hundred six million, five hundred thirty-five thousand, seventy-two".