201285072 has 120 divisors (see below), whose sum is σ = 584420928. Its totient is φ = 64627200.

The previous prime is 201285061. The next prime is 201285079. The reversal of 201285072 is 270582102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201285079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607947 + ... + 608277.

Almost surely, 2^201285072 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 201285072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292210464).

201285072 is an abundant number, since it is smaller than the sum of its proper divisors (383135856).

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

201285072 is a wasteful number, since it uses less digits than its factorization.

201285072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 201285072 is about 14187.4970308367. The cubic root of 201285072 is about 586.0533989786.

It can be divided in two parts, 20128 and 5072, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 201285072 in words is "two hundred one million, two hundred eighty-five thousand, seventy-two".