72849 has 8 divisors (see below), whose sum is σ = 111040. Its totient is φ = 41616.

The previous prime is 72823. The next prime is 72859. The reversal of 72849 is 94827.

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

It is not a de Polignac number, because 72849 - 2⁵ = 72817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72859) 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 7 ways as a sum of consecutive naturals, for example, 1714 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (13880).

2⁷²⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

72849 is a deficient number, since it is larger than the sum of its proper divisors (38191).

72849 is a wasteful number, since it uses less digits than its factorization.

72849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479.

The product of its digits is 4032, while the sum is 30.

The square root of 72849 is about 269.9055390317. The cubic root of 72849 is about 41.7645556237.

It can be divided in two parts, 7284 and 9, that multiplied together give a palindrome (65556).

The spelling of 72849 in words is "seventy-two thousand, eight hundred forty-nine".