11405772 has 120 divisors (see below), whose sum is σ = 35126784. Its totient is φ = 3159648.

The previous prime is 11405761. The next prime is 11405773. The reversal of 11405772 is 27750411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11405773) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 106543 + ... + 106649.

Almost surely, 2^11405772 is an apocalyptic number.

11405772 is a gapful number since it is divisible by the number (12) 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 11405772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

11405772 is an abundant number, since it is smaller than the sum of its proper divisors (23721012).

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

11405772 is a wasteful number, since it uses less digits than its factorization.

11405772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 11405772 is about 3377.2432544903. The cubic root of 11405772 is about 225.0996891582.

The spelling of 11405772 in words is "eleven million, four hundred five thousand, seven hundred seventy-two".