11071872 has 96 divisors (see below), whose sum is σ = 36438480. Its totient is φ = 3161088.

The previous prime is 11071849. The next prime is 11071873. The reversal of 11071872 is 27817011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7378 + ... + 8750.

Almost surely, 2^11071872 is an apocalyptic number.

11071872 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 11071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18219240).

11071872 is an abundant number, since it is smaller than the sum of its proper divisors (25366608).

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

11071872 is a wasteful number, since it uses less digits than its factorization.

11071872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1385 counting only the distinct ones).

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

The square root of 11071872 is about 3327.4422609566. The cubic root of 11071872 is about 222.8813273275.

Adding to 11071872 its reverse (27817011), we get a palindrome (38888883).

The spelling of 11071872 in words is "eleven million, seventy-one thousand, eight hundred seventy-two".