201415872 has 168 divisors, whose sum is σ = 630082560. Its totient is φ = 56609280.

The previous prime is 201415867. The next prime is 201415883. The reversal of 201415872 is 278514102.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×201415872³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743097 + ... + 743367.

Almost surely, 2^201415872 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 201415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315041280).

201415872 is an abundant number, since it is smaller than the sum of its proper divisors (428666688).

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

201415872 is a wasteful number, since it uses less digits than its factorization.

201415872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 201415872 is about 14192.1059748016. The cubic root of 201415872 is about 586.1803154716.

Adding to 201415872 its reverse (278514102), we get a palindrome (479929974).

The spelling of 201415872 in words is "two hundred one million, four hundred fifteen thousand, eight hundred seventy-two".