11709072 has 120 divisors (see below), whose sum is σ = 35180288. Its totient is φ = 3628800.

The previous prime is 11709053. The next prime is 11709077. The reversal of 11709072 is 27090711.

It is not an unprimeable number, because it can be changed into a prime (11709077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191922 + ... + 191982.

Almost surely, 2^11709072 is an apocalyptic number.

11709072 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 11709072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590144).

11709072 is an abundant number, since it is smaller than the sum of its proper divisors (23471216).

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

11709072 is a wasteful number, since it uses less digits than its factorization.

11709072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11709072 is about 3421.8521300606. The cubic root of 11709072 is about 227.0775285520.

Adding to 11709072 its reverse (27090711), we get a palindrome (38799783).

The spelling of 11709072 in words is "eleven million, seven hundred nine thousand, seventy-two".