11667072 has 64 divisors (see below), whose sum is σ = 32362560. Its totient is φ = 3717120.

The previous prime is 11667037. The next prime is 11667101. The reversal of 11667072 is 27076611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11667072² = 272241138106368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8172 + ... + 9492.

It is an arithmetic number, because the mean of its divisors is an integer number (505665).

Almost surely, 2^11667072 is an apocalyptic number.

11667072 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 11667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16181280).

11667072 is an abundant number, since it is smaller than the sum of its proper divisors (20695488).

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

11667072 is a wasteful number, since it uses less digits than its factorization.

11667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 11667072 is about 3415.7095895289. The cubic root of 11667072 is about 226.8056970969.

The spelling of 11667072 in words is "eleven million, six hundred sixty-seven thousand, seventy-two".