201372912 has 160 divisors (see below), whose sum is σ = 649958400. Its totient is φ = 59228928.

The previous prime is 201372911. The next prime is 201372929. The reversal of 201372912 is 219273102.

201372912 is a `hidden beast` number, since 201 + 372 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201372911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128389 + ... + 129947.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2^201372912 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 201372912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

201372912 is an abundant number, since it is smaller than the sum of its proper divisors (448585488).

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

201372912 is a wasteful number, since it uses less digits than its factorization.

201372912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 201372912 is about 14190.5923766416. The cubic root of 201372912 is about 586.1386370334.

The spelling of 201372912 in words is "two hundred one million, three hundred seventy-two thousand, nine hundred twelve".