201138672 has 80 divisors (see below), whose sum is σ = 599818752. Its totient is φ = 56889600.

The previous prime is 201138671. The next prime is 201138673. The reversal of 201138672 is 276831102.

It is an interprime number because it is at equal distance from previous prime (201138671) and next prime (201138673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201138671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30973 + ... + 36899.

Almost surely, 2^201138672 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 201138672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299909376).

201138672 is an abundant number, since it is smaller than the sum of its proper divisors (398680080).

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

201138672 is a wasteful number, since it uses less digits than its factorization.

201138672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6046 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 201138672 is about 14182.3366198945. The cubic root of 201138672 is about 585.9112804296.

Adding to 201138672 its reverse (276831102), we get a palindrome (477969774).

The spelling of 201138672 in words is "two hundred one million, one hundred thirty-eight thousand, six hundred seventy-two".