72112173 has 12 divisors (see below), whose sum is σ = 111847680. Its totient is φ = 41206872.

The previous prime is 72112133. The next prime is 72112177. The reversal of 72112173 is 37121127.

It is not a de Polignac number, because 72112173 - 2⁸ = 72111917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72112177) 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 11 ways as a sum of consecutive naturals, for example, 245133 + ... + 245426.

It is an arithmetic number, because the mean of its divisors is an integer number (9320640).

Almost surely, 2^72112173 is an apocalyptic number.

It is an amenable number.

72112173 is a deficient number, since it is larger than the sum of its proper divisors (39735507).

72112173 is a wasteful number, since it uses less digits than its factorization.

72112173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490576 (or 490569 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 72112173 is about 8491.8886591853. Note that the first 3 decimals coincide. The cubic root of 72112173 is about 416.2326981058.

The spelling of 72112173 in words is "seventy-two million, one hundred twelve thousand, one hundred seventy-three".