73168627009 has 9 divisors (see below), whose sum is σ = 74083529793. Its totient is φ = 72264896532.

The previous prime is 73168627003. The next prime is 73168627027. The reversal of 73168627009 is 90072686137.

It is a happy number.

The square root of 73168627009 is 270497.

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

It is not a de Polignac number, because 73168627009 - 2¹¹ = 73168624961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73168627003) 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, 22449622 + ... + 22452880.

Almost surely, 2^73168627009 is an apocalyptic number.

73168627009 is the 270497-th square number.

73168627009 is the 135249-th centered octagonal number.

It is an amenable number.

73168627009 is a deficient number, since it is larger than the sum of its proper divisors (914902784).

73168627009 is an frugal number, since it uses more digits than its factorization.

73168627009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 73168627009 by its sum of digits (49), we get a square (3585262723441 = 1893479²).

The spelling of 73168627009 in words is "seventy-three billion, one hundred sixty-eight million, six hundred twenty-seven thousand, nine".