11446272 has 144 divisors (see below), whose sum is σ = 35773920. Its totient is φ = 3649536.

The previous prime is 11446261. The next prime is 11446273. The reversal of 11446272 is 27264411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2688) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497653 + ... + 497675.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 2^11446272 is an apocalyptic number.

11446272 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 11446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886960).

11446272 is an abundant number, since it is smaller than the sum of its proper divisors (24327648).

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

11446272 is an frugal number, since it uses more digits than its factorization.

11446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 11446272 is about 3383.2339558476. The cubic root of 11446272 is about 225.3658049521.

The spelling of 11446272 in words is "eleven million, four hundred forty-six thousand, two hundred seventy-two".