72785 has 4 divisors (see below), whose sum is σ = 87348. Its totient is φ = 58224.

The previous prime is 72767. The next prime is 72797. The reversal of 72785 is 58727.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 54289 = 136^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 72785 - 2¹⁰ = 71761 is a prime.

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

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72785.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 7274 + ... + 7283.

It is an arithmetic number, because the mean of its divisors is an integer number (21837).

2⁷²⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

72785 is a deficient number, since it is larger than the sum of its proper divisors (14563).

72785 is a wasteful number, since it uses less digits than its factorization.

72785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562.

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

The square root of 72785 is about 269.7869529833. The cubic root of 72785 is about 41.7523215748.

The spelling of 72785 in words is "seventy-two thousand, seven hundred eighty-five".