11629072 has 80 divisors (see below), whose sum is σ = 28470400. Its totient is φ = 4572288.

The previous prime is 11629067. The next prime is 11629091. The reversal of 11629072 is 27092611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11629072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71263 + ... + 71425.

It is an arithmetic number, because the mean of its divisors is an integer number (355880).

Almost surely, 2^11629072 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 11629072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14235200).

11629072 is an abundant number, since it is smaller than the sum of its proper divisors (16841328).

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

11629072 is a wasteful number, since it uses less digits than its factorization.

11629072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 11629072 is about 3410.1425190159. The cubic root of 11629072 is about 226.5591916473.

The spelling of 11629072 in words is "eleven million, six hundred twenty-nine thousand, seventy-two".