205270752 has 48 divisors (see below), whose sum is σ = 542747520. Its totient is φ = 67926912.

The previous prime is 205270739. The next prime is 205270771. The reversal of 205270752 is 257072502.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 5653 + ... + 21035.

It is an arithmetic number, because the mean of its divisors is an integer number (11307240).

Almost surely, 2^205270752 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 205270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271373760).

205270752 is an abundant number, since it is smaller than the sum of its proper divisors (337476768).

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

205270752 is a wasteful number, since it uses less digits than its factorization.

205270752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15535 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 205270752 is about 14327.2730133826. The cubic root of 205270752 is about 589.8963257460.

The spelling of 205270752 in words is "two hundred five million, two hundred seventy thousand, seven hundred fifty-two".