205903872 has 72 divisors (see below), whose sum is σ = 594741420. Its totient is φ = 68628480.

The previous prime is 205903871. The next prime is 205903877. The reversal of 205903872 is 278309502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (205903871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12847 + ... + 24017.

Almost surely, 2^205903872 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 205903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297370710).

205903872 is an abundant number, since it is smaller than the sum of its proper divisors (388837548).

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

205903872 is a wasteful number, since it uses less digits than its factorization.

205903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11199 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 205903872 is about 14349.3509260872. The cubic root of 205903872 is about 590.5021789794.

The spelling of 205903872 in words is "two hundred five million, nine hundred three thousand, eight hundred seventy-two".