73113117 has 16 divisors (see below), whose sum is σ = 121539072. Its totient is φ = 37980720.

The previous prime is 73113091. The next prime is 73113119. The reversal of 73113117 is 71131137.

It is not a de Polignac number, because 73113117 - 2⁷ = 73112989 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73113119) 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, 158023 + ... + 158484.

It is an arithmetic number, because the mean of its divisors is an integer number (7596192).

Almost surely, 2^73113117 is an apocalyptic number.

73113117 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

73113117 is a deficient number, since it is larger than the sum of its proper divisors (48425955).

73113117 is a wasteful number, since it uses less digits than its factorization.

73113117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316528.

The product of its digits is 441, while the sum is 24.

The square root of 73113117 is about 8550.6208546514. The cubic root of 73113117 is about 418.1496777827.

The spelling of 73113117 in words is "seventy-three million, one hundred thirteen thousand, one hundred seventeen".