11725600 has 36 divisors (see below), whose sum is σ = 28627074. Its totient is φ = 4689920.

The previous prime is 11725573. The next prime is 11725613. The reversal of 11725600 is 652711.

It can be written as a sum of positive squares in 3 ways, for example, as 11370384 + 355216 = 3372^2 + 596^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6529 + ... + 8128.

Almost surely, 2^11725600 is an apocalyptic number.

11725600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11725600 is an abundant number, since it is smaller than the sum of its proper divisors (16901474).

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

11725600 is a wasteful number, since it uses less digits than its factorization.

11725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14677 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 11725600 is about 3424.2663447810. The cubic root of 11725600 is about 227.1843224651.

The spelling of 11725600 in words is "eleven million, seven hundred twenty-five thousand, six hundred".