78527 has 4 divisors (see below), whose sum is σ = 82680. Its totient is φ = 74376.

The previous prime is 78517. The next prime is 78539. The reversal of 78527 is 72587.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72587 = 29 ⋅2503.

It is a cyclic number.

It is not a de Polignac number, because 78527 - 2⁴ = 78511 is a prime.

It is a d-powerful number, because it can be written as 7² + 8 + 5⁷ + 2 + 7³ .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 78527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2048 + ... + 2085.

It is an arithmetic number, because the mean of its divisors is an integer number (20670).

2⁷⁸⁵²⁷ is an apocalyptic number.

78527 is a deficient number, since it is larger than the sum of its proper divisors (4153).

78527 is a wasteful number, since it uses less digits than its factorization.

78527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152.

The product of its digits is 3920, while the sum is 29.

The square root of 78527 is about 280.2266939462. The cubic root of 78527 is about 42.8225970289.

The spelling of 78527 in words is "seventy-eight thousand, five hundred twenty-seven".