11947072 has 56 divisors (see below), whose sum is σ = 25283160. Its totient is φ = 5591040.

The previous prime is 11947049. The next prime is 11947079. The reversal of 11947072 is 27074911.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 11943936 = 56^2 + 3456^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11947079) 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, 76018 + ... + 76174.

It is an arithmetic number, because the mean of its divisors is an integer number (451485).

Almost surely, 2^11947072 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 11947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12641580).

11947072 is an abundant number, since it is smaller than the sum of its proper divisors (13336088).

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

11947072 is a wasteful number, since it uses less digits than its factorization.

11947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 11947072 is about 3456.4536739265. The cubic root of 11947072 is about 228.6057555588.

The spelling of 11947072 in words is "eleven million, nine hundred forty-seven thousand, seventy-two".