72340247164249 has 9 divisors (see below), whose sum is σ = 72390045967263. Its totient is φ = 72290482612992.

The previous prime is 72340247164187. The next prime is 72340247164303. The reversal of 72340247164249 is 94246174204327.

It is a happy number.

The square root of 72340247164249 is 8505307.

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

It can be written as a sum of positive squares in only one way, i.e., 2612403061849 + 69727844102400 = 1616293^2 + 8350320^2 .

It is not a de Polignac number, because 72340247164249 - 2³⁷ = 72202808210777 is a prime.

It is a super-2 number, since 2×72340247164249² (a number of 29 digits) 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 72340247164249.

It is not an unprimeable number, because it can be changed into a prime (72340245164249) 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, 22870768942 + ... + 22870772104.

It is an arithmetic number, because the mean of its divisors is an integer number (8043338440807).

Almost surely, 2^{72340247164249} is an apocalyptic number.

72340247164249 is the 8505307-th square number.

72340247164249 is the 4252654-th centered octagonal number.

It is an amenable number.

72340247164249 is a deficient number, since it is larger than the sum of its proper divisors (49798803014).

72340247164249 is an frugal number, since it uses more digits than its factorization.

72340247164249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 5852 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 55.

The spelling of 72340247164249 in words is "seventy-two trillion, three hundred forty billion, two hundred forty-seven million, one hundred sixty-four thousand, two hundred forty-nine".