72835 has 8 divisors (see below), whose sum is σ = 99936. Its totient is φ = 49920.

The previous prime is 72823. The next prime is 72859. The reversal of 72835 is 53827.

72835 is nontrivially palindromic in base 11.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72835 - 2⁷ = 72707 is a prime.

It is a d-powerful number, because it can be written as 7² + 2¹⁶ + 8² + 3⁸ + 5⁴ .

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (12492).

2⁷²⁸³⁵ is an apocalyptic number.

72835 is a deficient number, since it is larger than the sum of its proper divisors (27101).

72835 is a wasteful number, since it uses less digits than its factorization.

72835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093.

The product of its digits is 1680, while the sum is 25.

The square root of 72835 is about 269.8796027861. The cubic root of 72835 is about 41.7618800380.

The spelling of 72835 in words is "seventy-two thousand, eight hundred thirty-five".