205772140 has 24 divisors (see below), whose sum is σ = 493853472. Its totient is φ = 70550400.

The previous prime is 205772113. The next prime is 205772167. The reversal of 205772140 is 41277502.

205772140 is digitally balanced in base 2 and base 3, because in such bases 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 (205772113) and next prime (205772167).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 205772099 and 205772108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734761 + ... + 735040.

It is an arithmetic number, because the mean of its divisors is an integer number (20577228).

Almost surely, 2^205772140 is an apocalyptic number.

205772140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205772140 is an abundant number, since it is smaller than the sum of its proper divisors (288081332).

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

205772140 is a wasteful number, since it uses less digits than its factorization.

205772140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469817 (or 1469815 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 205772140 is about 14344.7600189059. The cubic root of 205772140 is about 590.3762227470.

The spelling of 205772140 in words is "two hundred five million, seven hundred seventy-two thousand, one hundred forty".