10711872 has 56 divisors (see below), whose sum is σ = 31496000. Its totient is φ = 3570048.

The previous prime is 10711861. The next prime is 10711873. The reversal of 10711872 is 27811701.

It is a super-2 number, since 2×10711872² = 229488403488768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10711873) 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, 1372 + ... + 4827.

Almost surely, 2^10711872 is an apocalyptic number.

10711872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10711872 is an abundant number, since it is smaller than the sum of its proper divisors (20784128).

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

10711872 is an equidigital number, since it uses as much as digits as its factorization.

10711872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 10711872 is about 3272.8996318250. The cubic root of 10711872 is about 220.4390131673.

The spelling of 10711872 in words is "ten million, seven hundred eleven thousand, eight hundred seventy-two".