201321072 has 160 divisors (see below), whose sum is σ = 621388800. Its totient is φ = 62180352.

The previous prime is 201321053. The next prime is 201321073. The reversal of 201321072 is 270123102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321073) 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 31 ways as a sum of consecutive naturals, for example, 580003 + ... + 580349.

It is an arithmetic number, because the mean of its divisors is an integer number (3883680).

Almost surely, 2^201321072 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 201321072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310694400).

201321072 is an abundant number, since it is smaller than the sum of its proper divisors (420067728).

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

201321072 is a wasteful number, since it uses less digits than its factorization.

201321072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 201321072 is about 14188.7656968462. The cubic root of 201321072 is about 586.0883356060.

Adding to 201321072 its reverse (270123102), we get a palindrome (471444174).

The spelling of 201321072 in words is "two hundred one million, three hundred twenty-one thousand, seventy-two".