742005 has 24 divisors (see below), whose sum is σ = 1404000. Its totient is φ = 359520.

The previous prime is 741991. The next prime is 742009. The reversal of 742005 is 500247.

It is a happy number.

It is not a de Polignac number, because 742005 - 2⁵ = 741973 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 742005.

It is not an unprimeable number, because it can be changed into a prime (742009) 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 23 ways as a sum of consecutive naturals, for example, 255 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2⁷⁴²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

742005 is a deficient number, since it is larger than the sum of its proper divisors (661995).

742005 is a wasteful number, since it uses less digits than its factorization.

742005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1518 counting only the distinct ones).

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

The square root of 742005 is about 861.3971209611. The cubic root of 742005 is about 90.5320338761.

The spelling of 742005 in words is "seven hundred forty-two thousand, five".