201306672 has 240 divisors, whose sum is σ = 708764160. Its totient is φ = 52005888.

The previous prime is 201306671. The next prime is 201306683. The reversal of 201306672 is 276603102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201306671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440268 + ... + 440724.

It is an arithmetic number, because the mean of its divisors is an integer number (2953184).

Almost surely, 2^201306672 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 201306672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354382080).

201306672 is an abundant number, since it is smaller than the sum of its proper divisors (507457488).

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

201306672 is a wasteful number, since it uses less digits than its factorization.

201306672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 201306672 is about 14188.2582440552. The cubic root of 201306672 is about 586.0743614549.

Adding to 201306672 its reverse (276603102), we get a palindrome (477909774).

The spelling of 201306672 in words is "two hundred one million, three hundred six thousand, six hundred seventy-two".