11678072 has 48 divisors (see below), whose sum is σ = 26320320. Its totient is φ = 4843440.

The previous prime is 11678063. The next prime is 11678083. The reversal of 11678072 is 27087611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 376697 + ... + 376727.

It is an arithmetic number, because the mean of its divisors is an integer number (548340).

Almost surely, 2^11678072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11678072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160160).

11678072 is an abundant number, since it is smaller than the sum of its proper divisors (14642248).

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

11678072 is an frugal number, since it uses more digits than its factorization.

11678072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 11678072 is about 3417.3194173211. The cubic root of 11678072 is about 226.8769540214.

The spelling of 11678072 in words is "eleven million, six hundred seventy-eight thousand, seventy-two".