201672672 has 48 divisors (see below), whose sum is σ = 534275280. Its totient is φ = 66604032.

The previous prime is 201672619. The next prime is 201672689. The reversal of 201672672 is 276276102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 828 + ... + 20100.

It is an arithmetic number, because the mean of its divisors is an integer number (11130735).

Almost surely, 2^201672672 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 201672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267137640).

201672672 is an abundant number, since it is smaller than the sum of its proper divisors (332602608).

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

201672672 is a wasteful number, since it uses less digits than its factorization.

201672672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19395 (or 19387 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 201672672 is about 14201.1503759379. The cubic root of 201672672 is about 586.4293312259.

The spelling of 201672672 in words is "two hundred one million, six hundred seventy-two thousand, six hundred seventy-two".