74305 has 16 divisors (see below), whose sum is σ = 111744. Its totient is φ = 46080.

The previous prime is 74297. The next prime is 74311. The reversal of 74305 is 50347.

74305 = T₂₂ + T₂₃ + ... + T₇₆.

74305 is a nontrivial binomial coefficient, being equal to C(386, 2).

It is not a de Polignac number, because 74305 - 2³ = 74297 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (6984).

2⁷⁴³⁰⁵ is an apocalyptic number.

74305 is the 385-th triangular number and also the 193-rd hexagonal number.

74305 is the 129-th centered nonagonal number.

It is an amenable number.

74305 is a deficient number, since it is larger than the sum of its proper divisors (37439).

74305 is a wasteful number, since it uses less digits than its factorization.

74305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 74305 is about 272.5894348650. The cubic root of 74305 is about 42.0409653219.

It can be divided in two parts, 7 and 4305, that multiplied together give a triangular number (30135 = T₂₄₅).

The spelling of 74305 in words is "seventy-four thousand, three hundred five".