205130772 has 192 divisors, whose sum is σ = 702535680. Its totient is φ = 50112000.

The previous prime is 205130747. The next prime is 205130791. The reversal of 205130772 is 277031502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140647 + ... + 142097.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^205130772 is an apocalyptic number.

205130772 is a gapful number since it is divisible by the number (22) 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 205130772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351267840).

205130772 is an abundant number, since it is smaller than the sum of its proper divisors (497404908).

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

205130772 is a wasteful number, since it uses less digits than its factorization.

205130772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 205130772 is about 14322.3870915431. The cubic root of 205130772 is about 589.7622061929.

It can be divided in two parts, 2051 and 30772, that added together give a palindrome (32823).

The spelling of 205130772 in words is "two hundred five million, one hundred thirty thousand, seven hundred seventy-two".