5742432 has 72 divisors (see below), whose sum is σ = 16563456. Its totient is φ = 1886976.

The previous prime is 5742421. The next prime is 5742439. The reversal of 5742432 is 2342475.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5742396 and 5742405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36498 + ... + 36654.

It is an arithmetic number, because the mean of its divisors is an integer number (230048).

Almost surely, 2^5742432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281728).

5742432 is an abundant number, since it is smaller than the sum of its proper divisors (10821024).

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

5742432 is a wasteful number, since it uses less digits than its factorization.

5742432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 5742432 is about 2396.3372049860. The cubic root of 5742432 is about 179.0737604735.

The spelling of 5742432 in words is "five million, seven hundred forty-two thousand, four hundred thirty-two".