11766272 has 80 divisors (see below), whose sum is σ = 27825600. Its totient is φ = 4967424.

The previous prime is 11766269. The next prime is 11766277. The reversal of 11766272 is 27266711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11766277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175583 + ... + 175649.

It is an arithmetic number, because the mean of its divisors is an integer number (347820).

Almost surely, 2^11766272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912800).

11766272 is an abundant number, since it is smaller than the sum of its proper divisors (16059328).

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

11766272 is an frugal number, since it uses more digits than its factorization.

11766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 11766272 is about 3430.1999941694. The cubic root of 11766272 is about 227.4466936250.

The spelling of 11766272 in words is "eleven million, seven hundred sixty-six thousand, two hundred seventy-two".