723249 has 10 divisors (see below), whose sum is σ = 1080530. Its totient is φ = 482112.

The previous prime is 723227. The next prime is 723257. The reversal of 723249 is 942327.

It can be written as a sum of positive squares in only one way, i.e., 431649 + 291600 = 657^2 + 540^2 .

It is not a de Polignac number, because 723249 - 2⁹ = 722737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

723249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (723209) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4384 + ... + 4545.

It is an arithmetic number, because the mean of its divisors is an integer number (108053).

2⁷²³²⁴⁹ is an apocalyptic number.

It is an amenable number.

723249 is a deficient number, since it is larger than the sum of its proper divisors (357281).

723249 is an equidigital number, since it uses as much as digits as its factorization.

723249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8941 (or 8932 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 723249 is about 850.4404741074. The cubic root of 723249 is about 89.7627082457.

It can be divided in two parts, 72 and 3249, that added together give a triangular number (3321 = T₈₁).

The spelling of 723249 in words is "seven hundred twenty-three thousand, two hundred forty-nine".