205246872 has 80 divisors (see below), whose sum is σ = 580175640. Its totient is φ = 67785984.

The previous prime is 205246849. The next prime is 205246879. The reversal of 205246872 is 278642502.

205246872 is a `hidden beast` number, since 2 + 0 + 524 + 68 + 72 = 666.

205246872 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 a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (205246879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71823 + ... + 74625.

Almost surely, 2^205246872 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 205246872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290087820).

205246872 is an abundant number, since it is smaller than the sum of its proper divisors (374928768).

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

205246872 is a wasteful number, since it uses less digits than its factorization.

205246872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 205246872 is about 14326.4396135258. The cubic root of 205246872 is about 589.8734498282.

The spelling of 205246872 in words is "two hundred five million, two hundred forty-six thousand, eight hundred seventy-two".