76529 has 4 divisors (see below), whose sum is σ = 77376. Its totient is φ = 75684.

The previous prime is 76519. The next prime is 76537. The reversal of 76529 is 92567.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 76529 - 2¹⁶ = 10993 is a prime.

It is a d-powerful number, because it can be written as 7⁵ + 6² + 5³ + 2⁹ + 9⁵ .

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (76519) 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, 269 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2⁷⁶⁵²⁹ is an apocalyptic number.

It is an amenable number.

76529 is a deficient number, since it is larger than the sum of its proper divisors (847).

76529 is a wasteful number, since it uses less digits than its factorization.

76529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846.

The product of its digits is 3780, while the sum is 29.

The square root of 76529 is about 276.6387536120. The cubic root of 76529 is about 42.4562872352.

It can be divided in two parts, 76 and 529, that multiplied together give a palindrome (40204).

The spelling of 76529 in words is "seventy-six thousand, five hundred twenty-nine".