73172961 has 6 divisors (see below), whose sum is σ = 105694290. Its totient is φ = 48781968.

The previous prime is 73172893. The next prime is 73172969. The reversal of 73172961 is 16927137.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 9492561 = 7980^2 + 3081^2 .

It is not a de Polignac number, because 73172961 - 2¹¹ = 73170913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73172969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4065156 + ... + 4065173.

It is an arithmetic number, because the mean of its divisors is an integer number (17615715).

Almost surely, 2^73172961 is an apocalyptic number.

It is an amenable number.

73172961 is a deficient number, since it is larger than the sum of its proper divisors (32521329).

73172961 is a wasteful number, since it uses less digits than its factorization.

73172961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130335 (or 8130332 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 73172961 is about 8554.1195338854. The cubic root of 73172961 is about 418.2637335821.

The spelling of 73172961 in words is "seventy-three million, one hundred seventy-two thousand, nine hundred sixty-one".