205772160 has 128 divisors (see below), whose sum is σ = 715599360. Its totient is φ = 49879040.

The previous prime is 205772113. The next prime is 205772167. The reversal of 205772160 is 61277502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205772167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16249 + ... + 25991.

It is an arithmetic number, because the mean of its divisors is an integer number (5590620).

Almost surely, 2^205772160 is an apocalyptic number.

205772160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357799680).

205772160 is an abundant number, since it is smaller than the sum of its proper divisors (509827200).

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

205772160 is a wasteful number, since it uses less digits than its factorization.

205772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 205772160 is about 14344.7607160245. The cubic root of 205772160 is about 590.3762418741.

The spelling of 205772160 in words is "two hundred five million, seven hundred seventy-two thousand, one hundred sixty".