11742432 has 72 divisors (see below), whose sum is σ = 33540696. Its totient is φ = 3575808.

The previous prime is 11742421. The next prime is 11742457. The reversal of 11742432 is 23424711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 121008 + ... + 121104.

It is an arithmetic number, because the mean of its divisors is an integer number (465843).

Almost surely, 2^11742432 is an apocalyptic number.

11742432 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 11742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770348).

11742432 is an abundant number, since it is smaller than the sum of its proper divisors (21798264).

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

11742432 is an equidigital number, since it uses as much as digits as its factorization.

11742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 115 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 11742432 is about 3426.7232161352. The cubic root of 11742432 is about 227.2929775508.

The spelling of 11742432 in words is "eleven million, seven hundred forty-two thousand, four hundred thirty-two".