201751072 has 48 divisors (see below), whose sum is σ = 413465472. Its totient is φ = 96828160.

The previous prime is 201751051. The next prime is 201751073. The reversal of 201751072 is 270157102.

It is a happy number.

201751072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201751073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78447 + ... + 80977.

It is an arithmetic number, because the mean of its divisors is an integer number (8613864).

Almost surely, 2^201751072 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 201751072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206732736).

201751072 is an abundant number, since it is smaller than the sum of its proper divisors (211714400).

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

201751072 is a wasteful number, since it uses less digits than its factorization.

201751072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 201751072 is about 14203.9104474789. The cubic root of 201751072 is about 586.5053126049.

The spelling of 201751072 in words is "two hundred one million, seven hundred fifty-one thousand, seventy-two".