11506272 has 48 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 3702272.

The previous prime is 11506259. The next prime is 11506273. The reversal of 11506272 is 27260511.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11506273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 718 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (651105).

Almost surely, 2^11506272 is an apocalyptic number.

11506272 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 11506272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626520).

11506272 is an abundant number, since it is smaller than the sum of its proper divisors (19746768).

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

11506272 is a wasteful number, since it uses less digits than its factorization.

11506272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11506272 is about 3392.0896214575. The cubic root of 11506272 is about 225.7588991708.

Adding to 11506272 its reverse (27260511), we get a palindrome (38766783).

The spelling of 11506272 in words is "eleven million, five hundred six thousand, two hundred seventy-two".