72113 has 4 divisors (see below), whose sum is σ = 74100. Its totient is φ = 70128.

The previous prime is 72109. The next prime is 72139. The reversal of 72113 is 31127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31127 = 17 ⋅1831.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 10609 = 248^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 72113 - 2² = 72109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 938 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (18525).

2⁷²¹¹³ is an apocalyptic number.

It is an amenable number.

72113 is a deficient number, since it is larger than the sum of its proper divisors (1987).

72113 is a wasteful number, since it uses less digits than its factorization.

72113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986.

The product of its digits is 42, while the sum is 14.

The square root of 72113 is about 268.5386378159. The cubic root of 72113 is about 41.6234289252.

Adding to 72113 its sum of digits (14), we get a palindrome (72127).

The spelling of 72113 in words is "seventy-two thousand, one hundred thirteen".