72249 has 4 divisors (see below), whose sum is σ = 96336. Its totient is φ = 48164.

The previous prime is 72229. The next prime is 72251. The reversal of 72249 is 94227.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72249 - 2⁸ = 71993 is a prime.

It is a D-number.

72249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12039 + ... + 12044.

It is an arithmetic number, because the mean of its divisors is an integer number (24084).

2⁷²²⁴⁹ is an apocalyptic number.

It is an amenable number.

72249 is a deficient number, since it is larger than the sum of its proper divisors (24087).

72249 is a wasteful number, since it uses less digits than its factorization.

72249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24086.

The product of its digits is 1008, while the sum is 24.

The square root of 72249 is about 268.7917409445. The cubic root of 72249 is about 41.6495787708.

The spelling of 72249 in words is "seventy-two thousand, two hundred forty-nine".