205725783072 has 96 divisors (see below), whose sum is σ = 563835565440. Its totient is φ = 65555804160.

The previous prime is 205725783047. The next prime is 205725783113. The reversal of 205725783072 is 270387527502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3924072 + ... + 3976152.

It is an arithmetic number, because the mean of its divisors is an integer number (5873287140).

Almost surely, 2^205725783072 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 205725783072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281917782720).

205725783072 is an abundant number, since it is smaller than the sum of its proper divisors (358109782368).

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

205725783072 is a wasteful number, since it uses less digits than its factorization.

205725783072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53906 (or 53898 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 205725783072 in words is "two hundred five billion, seven hundred twenty-five million, seven hundred eighty-three thousand, seventy-two".