201120072 has 32 divisors (see below), whose sum is σ = 503388000. Its totient is φ = 66961664.

The previous prime is 201120061. The next prime is 201120077. The reversal of 201120072 is 270021102.

201120072 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×201120072² = 80898566722570368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201120077) 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, 18304 + ... + 27152.

It is an arithmetic number, because the mean of its divisors is an integer number (15730875).

Almost surely, 2^201120072 is an apocalyptic number.

It is an amenable number.

201120072 is an abundant number, since it is smaller than the sum of its proper divisors (302267928).

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

201120072 is a wasteful number, since it uses less digits than its factorization.

201120072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9801 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 201120072 is about 14181.6808594750. The cubic root of 201120072 is about 585.8932194477.

Adding to 201120072 its reverse (270021102), we get a palindrome (471141174).

The spelling of 201120072 in words is "two hundred one million, one hundred twenty thousand, seventy-two".