11772500 has 60 divisors (see below), whose sum is σ = 27356868. Its totient is φ = 4416000.

The previous prime is 11772499. The next prime is 11772539. The reversal of 11772500 is 527711.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 9351364 + 2421136 = 3058^2 + 1556^2 .

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 19 ways as a sum of consecutive naturals, for example, 42362 + ... + 42638.

Almost surely, 2^11772500 is an apocalyptic number.

11772500 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 11772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13678434).

11772500 is an abundant number, since it is smaller than the sum of its proper divisors (15584368).

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

11772500 is a wasteful number, since it uses less digits than its factorization.

11772500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 11772500 is about 3431.1076928596. The cubic root of 11772500 is about 227.4868164481.

The spelling of 11772500 in words is "eleven million, seven hundred seventy-two thousand, five hundred".