73222249 has 9 divisors (see below), whose sum is σ = 75343293. Its totient is φ = 71160012.

The previous prime is 73222243. The next prime is 73222267. The reversal of 73222249 is 94222237.

The square root of 73222249 is 8557.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 73222249 - 2²¹ = 71125097 is a prime.

It is a super-2 number, since 2×73222249² = 10722995497236002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73222249.

It is not an unprimeable number, because it can be changed into a prime (73222243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 367852 + ... + 368050.

It is an arithmetic number, because the mean of its divisors is an integer number (8371477).

Almost surely, 2^73222249 is an apocalyptic number.

73222249 is the 8557-th square number.

73222249 is the 4279-th centered octagonal number.

It is an amenable number.

73222249 is a deficient number, since it is larger than the sum of its proper divisors (2121044).

73222249 is an frugal number, since it uses more digits than its factorization.

73222249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The cubic root of 73222249 is about 418.3576241651.

The spelling of 73222249 in words is "seventy-three million, two hundred twenty-two thousand, two hundred forty-nine".