205673472 has 176 divisors, whose sum is σ = 626873280. Its totient is φ = 66576384.

The previous prime is 205673449. The next prime is 205673477. The reversal of 205673472 is 274376502.

It is a happy number.

205673472 is a `hidden beast` number, since 20 + 567 + 3 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205673477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188778 + ... + 1188950.

It is an arithmetic number, because the mean of its divisors is an integer number (3561780).

Almost surely, 2^205673472 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 205673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313436640).

205673472 is an abundant number, since it is smaller than the sum of its proper divisors (421199808).

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

205673472 is a wasteful number, since it uses less digits than its factorization.

205673472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 205673472 is about 14341.3204412983. The cubic root of 205673472 is about 590.2818456135.

The spelling of 205673472 in words is "two hundred five million, six hundred seventy-three thousand, four hundred seventy-two".