75567 has 4 divisors (see below), whose sum is σ = 100760. Its totient is φ = 50376.

The previous prime is 75557. The next prime is 75571. The reversal of 75567 is 76557.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 75567 - 2⁶ = 75503 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

75567 is a lucky number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12592 + ... + 12597.

It is an arithmetic number, because the mean of its divisors is an integer number (25190).

2⁷⁵⁵⁶⁷ is an apocalyptic number.

75567 is a deficient number, since it is larger than the sum of its proper divisors (25193).

75567 is a wasteful number, since it uses less digits than its factorization.

75567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25192.

The product of its digits is 7350, while the sum is 30.

The square root of 75567 is about 274.8945252274. The cubic root of 75567 is about 42.2776390933.

Subtracting 75567 from its reverse (76557), we obtain a triangular number (990 = T₄₄).

The spelling of 75567 in words is "seventy-five thousand, five hundred sixty-seven".