11463072 has 48 divisors (see below), whose sum is σ = 30425472. Its totient is φ = 3778560.

The previous prime is 11463071. The next prime is 11463079. The reversal of 11463072 is 27036411.

11463072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (11463071) 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, 8697 + ... + 9927.

It is an arithmetic number, because the mean of its divisors is an integer number (633864).

Almost surely, 2^11463072 is an apocalyptic number.

11463072 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 11463072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212736).

11463072 is an abundant number, since it is smaller than the sum of its proper divisors (18962400).

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

11463072 is a wasteful number, since it uses less digits than its factorization.

11463072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11463072 is about 3385.7158770340. The cubic root of 11463072 is about 225.4760095290.

Adding to 11463072 its reverse (27036411), we get a palindrome (38499483).

The spelling of 11463072 in words is "eleven million, four hundred sixty-three thousand, seventy-two".