7416289 has 8 divisors (see below), whose sum is σ = 7915040. Its totient is φ = 6928416.

The previous prime is 7416287. The next prime is 7416307. The reversal of 7416289 is 9826147.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(7416289) divides (7416289-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 7416289 - 2¹ = 7416287 is a prime.

It is a d-powerful number, because it can be written as 7 + 4⁶ + 1 + 6⁵ + 2¹⁹ + 8⁷ + 9⁷ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7416287) 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 7 ways as a sum of consecutive naturals, for example, 1287 + ... + 4060.

It is an arithmetic number, because the mean of its divisors is an integer number (989380).

It is a Poulet number, since it divides 2^7416288-1.

Almost surely, 2^7416289 is an apocalyptic number.

It is an amenable number.

7416289 is a deficient number, since it is larger than the sum of its proper divisors (498751).

7416289 is a wasteful number, since it uses less digits than its factorization.

7416289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439.

The product of its digits is 24192, while the sum is 37.

The square root of 7416289 is about 2723.2864337047. The cubic root of 7416289 is about 195.0123945661.

The spelling of 7416289 in words is "seven million, four hundred sixteen thousand, two hundred eighty-nine".