11830272 has 44 divisors (see below), whose sum is σ = 31540176. Its totient is φ = 3942400.

The previous prime is 11830253. The next prime is 11830277. The reversal of 11830272 is 27203811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11830277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1147 + ... + 4997.

Almost surely, 2^11830272 is an apocalyptic number.

11830272 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 11830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770088).

11830272 is an abundant number, since it is smaller than the sum of its proper divisors (19709904).

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

11830272 is an equidigital number, since it uses as much as digits as its factorization.

11830272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11830272 is about 3439.5162450554. The cubic root of 11830272 is about 227.8583299649.

The spelling of 11830272 in words is "eleven million, eight hundred thirty thousand, two hundred seventy-two".