205938072 has 64 divisors (see below), whose sum is σ = 582876000. Its totient is φ = 67347072.

The previous prime is 205938043. The next prime is 205938133. The reversal of 205938072 is 270839502.

It is a happy number.

205938072 is a `hidden beast` number, since 205 + 9 + 380 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2454 + ... + 20442.

Almost surely, 2^205938072 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 205938072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291438000).

205938072 is an abundant number, since it is smaller than the sum of its proper divisors (376937928).

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

205938072 is a wasteful number, since it uses less digits than its factorization.

205938072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18057 (or 18047 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 205938072 is about 14350.5425681401. The cubic root of 205938072 is about 590.5348707015.

The spelling of 205938072 in words is "two hundred five million, nine hundred thirty-eight thousand, seventy-two".