201651072 has 128 divisors (see below), whose sum is σ = 625056000. Its totient is φ = 57576960.

The previous prime is 201651071. The next prime is 201651083. The reversal of 201651072 is 270156102.

201651072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201651071) 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, 130947 + ... + 132477.

It is an arithmetic number, because the mean of its divisors is an integer number (4883250).

Almost surely, 2^201651072 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 201651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312528000).

201651072 is an abundant number, since it is smaller than the sum of its proper divisors (423404928).

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

201651072 is an equidigital number, since it uses as much as digits as its factorization.

201651072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 201651072 is about 14200.3898538033. The cubic root of 201651072 is about 586.4083941208.

The spelling of 201651072 in words is "two hundred one million, six hundred fifty-one thousand, seventy-two".