11725824 has 88 divisors (see below), whose sum is σ = 34193088. Its totient is φ = 3543040.

The previous prime is 11725823. The next prime is 11725841. The reversal of 11725824 is 42852711.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 11725791 and 11725800.

It is not an unprimeable number, because it can be changed into a prime (11725823) 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, 33619 + ... + 33965.

Almost surely, 2^11725824 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 11725824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096544).

11725824 is an abundant number, since it is smaller than the sum of its proper divisors (22467264).

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

11725824 is a wasteful number, since it uses less digits than its factorization.

11725824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 11725824 is about 3424.2990523609. The cubic root of 11725824 is about 227.1857691278.

It can be divided in two parts, 1172 and 5824, that added together give a palindrome (6996).

The spelling of 11725824 in words is "eleven million, seven hundred twenty-five thousand, eight hundred twenty-four".