72837 has 6 divisors (see below), whose sum is σ = 105222. Its totient is φ = 48552.

The previous prime is 72823. The next prime is 72859. The reversal of 72837 is 73827.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 12321 = 246^2 + 111^2 .

It is not a de Polignac number, because 72837 - 2¹⁴ = 56453 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 72837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72817) 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 5 ways as a sum of consecutive naturals, for example, 4038 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (17537).

2⁷²⁸³⁷ is an apocalyptic number.

It is an amenable number.

72837 is a deficient number, since it is larger than the sum of its proper divisors (32385).

72837 is a wasteful number, since it uses less digits than its factorization.

72837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8099 (or 8096 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72837 is about 269.8833081167. The cubic root of 72837 is about 41.7622622855.

Subtracting 72837 from its reverse (73827), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 72 and 837, that added together give a palindrome (909).

The spelling of 72837 in words is "seventy-two thousand, eight hundred thirty-seven".