72106173 has 16 divisors (see below), whose sum is σ = 111469440. Its totient is φ = 45980352.

The previous prime is 72106171. The next prime is 72106241. The reversal of 72106173 is 37160127.

It is not a de Polignac number, because 72106173 - 2¹ = 72106171 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57436 + ... + 58677.

It is an arithmetic number, because the mean of its divisors is an integer number (6966840).

Almost surely, 2^72106173 is an apocalyptic number.

It is an amenable number.

72106173 is a deficient number, since it is larger than the sum of its proper divisors (39363267).

72106173 is a wasteful number, since it uses less digits than its factorization.

72106173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116145 (or 116139 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72106173 is about 8491.5353735352. The cubic root of 72106173 is about 416.2211537513.

The spelling of 72106173 in words is "seventy-two million, one hundred six thousand, one hundred seventy-three".