72008173 has 4 divisors (see below), whose sum is σ = 72088128. Its totient is φ = 71928220.

The previous prime is 72008171. The next prime is 72008191. The reversal of 72008173 is 37180027.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 37180027 = 131 ⋅283817.

It is a cyclic number.

It is not a de Polignac number, because 72008173 - 2¹ = 72008171 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72008171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38611 + ... + 40432.

It is an arithmetic number, because the mean of its divisors is an integer number (18022032).

Almost surely, 2^72008173 is an apocalyptic number.

It is an amenable number.

72008173 is a deficient number, since it is larger than the sum of its proper divisors (79955).

72008173 is an equidigital number, since it uses as much as digits as its factorization.

72008173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79954.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 72008173 is about 8485.7629592159. The cubic root of 72008173 is about 416.0325052417.

The spelling of 72008173 in words is "seventy-two million, eight thousand, one hundred seventy-three".