11456772 has 48 divisors (see below), whose sum is σ = 28459200. Its totient is φ = 3576960.

The previous prime is 11456771. The next prime is 11456777. The reversal of 11456772 is 27765411.

It is not an unprimeable number, because it can be changed into a prime (11456771) 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, 24622 + ... + 25082.

It is an arithmetic number, because the mean of its divisors is an integer number (592900).

Almost surely, 2^11456772 is an apocalyptic number.

11456772 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 11456772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229600).

11456772 is an abundant number, since it is smaller than the sum of its proper divisors (17002428).

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

11456772 is a wasteful number, since it uses less digits than its factorization.

11456772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 594 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 11456772 is about 3384.7853698573. The cubic root of 11456772 is about 225.4346954389.

The spelling of 11456772 in words is "eleven million, four hundred fifty-six thousand, seven hundred seventy-two".