75466 has 8 divisors (see below), whose sum is σ = 114660. Its totient is φ = 37248.

The previous prime is 75437. The next prime is 75479. The reversal of 75466 is 66457.

75466 is a nontrivial binomial coefficient, being equal to C(389, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 73441 + 2025 = 271^2 + 45^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 388.

2⁷⁵⁴⁶⁶ is an apocalyptic number.

75466 is the 388-th triangular number.

75466 is the 130-th centered nonagonal number.

75466 is a deficient number, since it is larger than the sum of its proper divisors (39194).

75466 is a wasteful number, since it uses less digits than its factorization.

75466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488.

The product of its digits is 5040, while the sum is 28.

The square root of 75466 is about 274.7107569790. The cubic root of 75466 is about 42.2587951299.

Subtracting from 75466 its reverse (66457), we obtain a palindrome (9009).

It can be divided in two parts, 754 and 66, that added together give a triangular number (820 = T₄₀).

The spelling of 75466 in words is "seventy-five thousand, four hundred sixty-six".