11717472 has 96 divisors (see below), whose sum is σ = 34080480. Its totient is φ = 3502080.

The previous prime is 11717443. The next prime is 11717483. The reversal of 11717472 is 27471711.

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

It is a congruent number.

It is an unprimeable number.

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, 51054 + ... + 51282.

It is an arithmetic number, because the mean of its divisors is an integer number (355005).

Almost surely, 2^11717472 is an apocalyptic number.

11717472 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 11717472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17040240).

11717472 is an abundant number, since it is smaller than the sum of its proper divisors (22363008).

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

11717472 is a wasteful number, since it uses less digits than its factorization.

11717472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 2744, while the sum is 30.

The square root of 11717472 is about 3423.0793154702. The cubic root of 11717472 is about 227.1318168079.

The spelling of 11717472 in words is "eleven million, seven hundred seventeen thousand, four hundred seventy-two".