75464 has 8 divisors (see below), whose sum is σ = 141510. Its totient is φ = 37728.

The previous prime is 75437. The next prime is 75479. The reversal of 75464 is 46457.

75464 = T₆₇ + T₆₈ + ... + T₉₀.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 16900 = 242^2 + 130^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 9.

It is an unprimeable number.

75464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4709 + ... + 4724.

2⁷⁵⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

75464 is a deficient number, since it is larger than the sum of its proper divisors (66046).

75464 is a wasteful number, since it uses less digits than its factorization.

75464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9435 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 75464 is about 274.7071167626. The cubic root of 75464 is about 42.2584218124.

It can be divided in two parts, 754 and 64, that added together give a palindrome (818).

The spelling of 75464 in words is "seventy-five thousand, four hundred sixty-four".