11878272 has 128 divisors (see below), whose sum is σ = 40147200. Its totient is φ = 3386880.

The previous prime is 11878271. The next prime is 11878289. The reversal of 11878272 is 27287811.

It is a happy number.

11878272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11878271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23947 + ... + 24437.

It is an arithmetic number, because the mean of its divisors is an integer number (313650).

Almost surely, 2^11878272 is an apocalyptic number.

11878272 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 11878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073600).

11878272 is an abundant number, since it is smaller than the sum of its proper divisors (28268928).

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

11878272 is an equidigital number, since it uses as much as digits as its factorization.

11878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11878272 is about 3446.4869069822. The cubic root of 11878272 is about 228.1660839748.

The spelling of 11878272 in words is "eleven million, eight hundred seventy-eight thousand, two hundred seventy-two".