205219672 has 64 divisors (see below), whose sum is σ = 454072320. Its totient is φ = 85131648.

The previous prime is 205219667. The next prime is 205219697. The reversal of 205219672 is 276912502.

It is a super-2 number, since 2×205219672² = 84230227551575168, which contains 22 as substring.

It is a congruent number.

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, 270718 + ... + 271474.

It is an arithmetic number, because the mean of its divisors is an integer number (7094880).

Almost surely, 2^205219672 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 205219672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227036160).

205219672 is an abundant number, since it is smaller than the sum of its proper divisors (248852648).

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

205219672 is a wasteful number, since it uses less digits than its factorization.

205219672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 205219672 is about 14325.4902882938. The cubic root of 205219672 is about 589.8473913447.

The spelling of 205219672 in words is "two hundred five million, two hundred nineteen thousand, six hundred seventy-two".