11729736 has 48 divisors (see below), whose sum is σ = 32102460. Its totient is φ = 3868800.

The previous prime is 11729723. The next prime is 11729761. The reversal of 11729736 is 63792711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10304100 + 1425636 = 3210^2 + 1194^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11729736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6466 + ... + 8078.

Almost surely, 2^11729736 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 11729736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16051230).

11729736 is an abundant number, since it is smaller than the sum of its proper divisors (20372724).

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

11729736 is a wasteful number, since it uses less digits than its factorization.

11729736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1719 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 11729736 is about 3424.8702165192. The cubic root of 11729736 is about 227.2110310884.

The spelling of 11729736 in words is "eleven million, seven hundred twenty-nine thousand, seven hundred thirty-six".