78729 has 16 divisors (see below), whose sum is σ = 125952. Its totient is φ = 42768.

The previous prime is 78721. The next prime is 78737. The reversal of 78729 is 92787.

It is an interprime number because it is at equal distance from previous prime (78721) and next prime (78737).

It is not a de Polignac number, because 78729 - 2³ = 78721 is a prime.

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

Its product of digits (7056) is a multiple of the sum of its prime divisors (196).

78729 is a lucky number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 78729.

It is not an unprimeable number, because it can be changed into a prime (78721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (7872).

2⁷⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

78729 is a deficient number, since it is larger than the sum of its proper divisors (47223).

78729 is a wasteful number, since it uses less digits than its factorization.

78729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its digits is 7056, while the sum is 33.

The square root of 78729 is about 280.5868849394. The cubic root of 78729 is about 42.8592840200.

The spelling of 78729 in words is "seventy-eight thousand, seven hundred twenty-nine".