5742000 has 240 divisors, whose sum is σ = 22632480. Its totient is φ = 1344000.

The previous prime is 5741999. The next prime is 5742007. The reversal of 5742000 is 2475.

5742000 = 408² + 409² + ... + 439².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742007) 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 47 ways as a sum of consecutive naturals, for example, 197986 + ... + 198014.

It is an arithmetic number, because the mean of its divisors is an integer number (94302).

Almost surely, 2^5742000 is an apocalyptic number.

5742000 is a gapful number since it is divisible by the number (50) 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 5742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11316240).

5742000 is an abundant number, since it is smaller than the sum of its proper divisors (16890480).

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

5742000 is a wasteful number, since it uses less digits than its factorization.

5742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5742000 is about 2396.2470657259. The cubic root of 5742000 is about 179.0692698207.

Adding to 5742000 its reverse (2475), we get a palindrome (5744475).

The spelling of 5742000 in words is "five million, seven hundred forty-two thousand".