73147137 has 16 divisors (see below), whose sum is σ = 111777792. Its totient is φ = 41680080.

The previous prime is 73147133. The next prime is 73147163. The reversal of 73147137 is 73174137.

It is not a de Polignac number, because 73147137 - 2² = 73147133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73147098 and 73147107.

It is not an unprimeable number, because it can be changed into a prime (73147133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2962 + ... + 12452.

It is an arithmetic number, because the mean of its divisors is an integer number (6986112).

Almost surely, 2^73147137 is an apocalyptic number.

It is an amenable number.

73147137 is a deficient number, since it is larger than the sum of its proper divisors (38630655).

73147137 is a wasteful number, since it uses less digits than its factorization.

73147137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9868.

The product of its digits is 12348, while the sum is 33.

The square root of 73147137 is about 8552.6099525233. The cubic root of 73147137 is about 418.2145236307.

Subtracting 73147137 from its reverse (73174137), we obtain a cube (27000 = 30³).

The spelling of 73147137 in words is "seventy-three million, one hundred forty-seven thousand, one hundred thirty-seven".