11668272 has 180 divisors, whose sum is σ = 39481848. Its totient is φ = 2956800.

The previous prime is 11668271. The next prime is 11668277. The reversal of 11668272 is 27286611.

It is a super-2 number, since 2×11668272² = 272297142931968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (8064) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11668271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284572 + ... + 284612.

Almost surely, 2^11668272 is an apocalyptic number.

11668272 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 11668272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740924).

11668272 is an abundant number, since it is smaller than the sum of its proper divisors (27813576).

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

11668272 is a wasteful number, since it uses less digits than its factorization.

11668272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 11668272 is about 3415.8852439741. The cubic root of 11668272 is about 226.8134727555.

The spelling of 11668272 in words is "eleven million, six hundred sixty-eight thousand, two hundred seventy-two".