72107 has 4 divisors (see below), whose sum is σ = 82416. Its totient is φ = 61800.

The previous prime is 72103. The next prime is 72109. The reversal of 72107 is 70127.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70127 = 23 ⋅3049.

It is a cyclic number.

It is not a de Polignac number, because 72107 - 2² = 72103 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is not an unprimeable number, because it can be changed into a prime (72101) 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, 5144 + ... + 5157.

It is an arithmetic number, because the mean of its divisors is an integer number (20604).

2⁷²¹⁰⁷ is an apocalyptic number.

72107 is a deficient number, since it is larger than the sum of its proper divisors (10309).

72107 is a wasteful number, since it uses less digits than its factorization.

72107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10308.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 72107 is about 268.5274660067. The cubic root of 72107 is about 41.6222744986.

The spelling of 72107 in words is "seventy-two thousand, one hundred seven", and thus it is an iban number.