11725280 has 144 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 3677184.

The previous prime is 11725277. The next prime is 11725289. The reversal of 11725280 is 8252711.

11725280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11725289) 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, 404306 + ... + 404334.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 2^11725280 is an apocalyptic number.

11725280 is a gapful number since it is divisible by the number (10) 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 11725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

11725280 is an abundant number, since it is smaller than the sum of its proper divisors (22839040).

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

11725280 is a wasteful number, since it uses less digits than its factorization.

11725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 11725280 is about 3424.2196191249. The cubic root of 11725280 is about 227.1822557722.

Adding to 11725280 its reverse (8252711), we get a palindrome (19977991).

The spelling of 11725280 in words is "eleven million, seven hundred twenty-five thousand, two hundred eighty".