2011072272 has 60 divisors (see below), whose sum is σ = 5710519920. Its totient is φ = 609414080.

The previous prime is 2011072267. The next prime is 2011072279. The reversal of 2011072272 is 2722701102.

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

It is not an unprimeable number, because it can be changed into a prime (2011072279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167322 + ... + 178937.

It is an arithmetic number, because the mean of its divisors is an integer number (95175332).

Almost surely, 2^2011072272 is an apocalyptic number.

2011072272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2011072272 is an abundant number, since it is smaller than the sum of its proper divisors (3699447648).

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

2011072272 is a wasteful number, since it uses less digits than its factorization.

2011072272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346292 (or 346275 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 2011072272 is about 44844.9804548960. The cubic root of 2011072272 is about 1262.2418039063.

Adding to 2011072272 its reverse (2722701102), we get a palindrome (4733773374).

The spelling of 2011072272 in words is "two billion, eleven million, seventy-two thousand, two hundred seventy-two".