78529 has 8 divisors (see below), whose sum is σ = 87840. Its totient is φ = 70180.

The previous prime is 78517. The next prime is 78539. The reversal of 78529 is 92587.

It is not a de Polignac number, because 78529 - 2⁵ = 78497 is a prime.

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

It is a Duffinian number.

Its product of digits (5040) is a multiple of the sum of its prime divisors (70).

78529 is a lucky number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 78529.

It is not an unprimeable number, because it can be changed into a prime (78509) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 1302 + ... + 1360.

It is an arithmetic number, because the mean of its divisors is an integer number (10980).

2⁷⁸⁵²⁹ is an apocalyptic number.

It is an amenable number.

78529 is a deficient number, since it is larger than the sum of its proper divisors (9311).

78529 is an equidigital number, since it uses as much as digits as its factorization.

78529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 78529 is about 280.2302624629. The cubic root of 78529 is about 42.8229605746.

The spelling of 78529 in words is "seventy-eight thousand, five hundred twenty-nine".