72106 has 8 divisors (see below), whose sum is σ = 111744. Its totient is φ = 34860.

The previous prime is 72103. The next prime is 72109. The reversal of 72106 is 60127.

It is an interprime number because it is at equal distance from previous prime (72103) and next prime (72109).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 12 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 72106.

It is a congruent number.

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, 520 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (13968).

2⁷²¹⁰⁶ is an apocalyptic number.

72106 is a deficient number, since it is larger than the sum of its proper divisors (39638).

72106 is a wasteful number, since it uses less digits than its factorization.

72106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72106 is about 268.5256039934. The cubic root of 72106 is about 41.6220820880.

The spelling of 72106 in words is "seventy-two thousand, one hundred six".