11772090 has 144 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 2671680.

The previous prime is 11772071. The next prime is 11772091. The reversal of 11772090 is 9027711.

11772090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11772091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250447 + ... + 250493.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 2^11772090 is an apocalyptic number.

11772090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11772090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

11772090 is an abundant number, since it is smaller than the sum of its proper divisors (24080454).

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

11772090 is a wasteful number, since it uses less digits than its factorization.

11772090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

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

The square root of 11772090 is about 3431.0479448705. The cubic root of 11772090 is about 227.4841755285.

The spelling of 11772090 in words is "eleven million, seven hundred seventy-two thousand, ninety".