10711272 has 64 divisors (see below), whose sum is σ = 31469760. Its totient is φ = 2995200.

The previous prime is 10711271. The next prime is 10711277. The reversal of 10711272 is 27211701.

It is a happy number.

It is a super-2 number, since 2×10711272² = 229462695715968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10711271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1872 + ... + 4992.

It is an arithmetic number, because the mean of its divisors is an integer number (491715).

Almost surely, 2^10711272 is an apocalyptic number.

10711272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10711272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734880).

10711272 is an abundant number, since it is smaller than the sum of its proper divisors (20758488).

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

10711272 is a wasteful number, since it uses less digits than its factorization.

10711272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The square root of 10711272 is about 3272.8079687021. The cubic root of 10711272 is about 220.4348973017.

Adding to 10711272 its reverse (27211701), we get a palindrome (37922973).

The spelling of 10711272 in words is "ten million, seven hundred eleven thousand, two hundred seventy-two".