11005672 has 8 divisors (see below), whose sum is σ = 20635650. Its totient is φ = 5502832.

The previous prime is 11005669. The next prime is 11005679. The reversal of 11005672 is 27650011.

It can be written as a sum of positive squares in only one way, i.e., 10850436 + 155236 = 3294^2 + 394^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×11005672² = 242249632343168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 687847 + ... + 687862.

Almost surely, 2^11005672 is an apocalyptic number.

It is an amenable number.

11005672 is a deficient number, since it is larger than the sum of its proper divisors (9629978).

11005672 is a wasteful number, since it uses less digits than its factorization.

11005672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375715 (or 1375711 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 11005672 is about 3317.4797663287. The cubic root of 11005672 is about 222.4362279889.

Adding to 11005672 its reverse (27650011), we get a palindrome (38655683).

The spelling of 11005672 in words is "eleven million, five thousand, six hundred seventy-two".