205272817272 has 512 divisors, whose sum is σ = 632530944000. Its totient is φ = 62229772800.

The previous prime is 205272817241. The next prime is 205272817381. The reversal of 205272817272 is 272718272502.

205272817272 is a `hidden beast` number, since 20 + 527 + 2 + 81 + 7 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1074726697 + ... + 1074726887.

It is an arithmetic number, because the mean of its divisors is an integer number (1235412000).

Almost surely, 2^205272817272 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 205272817272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316265472000).

205272817272 is an abundant number, since it is smaller than the sum of its proper divisors (427258126728).

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

205272817272 is a wasteful number, since it uses less digits than its factorization.

205272817272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 205272817272 in words is "two hundred five billion, two hundred seventy-two million, eight hundred seventeen thousand, two hundred seventy-two".