78536 has 8 divisors (see below), whose sum is σ = 147270. Its totient is φ = 39264.

The previous prime is 78517. The next prime is 78539. The reversal of 78536 is 63587.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 36100 = 206^2 + 190^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 78499 and 78508.

It is not an unprimeable number, because it can be changed into a prime (78539) by changing a digit.

78536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 4901 + ... + 4916.

2⁷⁸⁵³⁶ is an apocalyptic number.

It is an amenable number.

78536 is a deficient number, since it is larger than the sum of its proper divisors (68734).

78536 is a wasteful number, since it uses less digits than its factorization.

78536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9819 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 78536 is about 280.2427519134. The cubic root of 78536 is about 42.8242329361.

The spelling of 78536 in words is "seventy-eight thousand, five hundred thirty-six".