72531673 has 16 divisors (see below), whose sum is σ = 80960256. Its totient is φ = 64627200.

The previous prime is 72531659. The next prime is 72531689. The reversal of 72531673 is 37613527.

It is not a de Polignac number, because 72531673 - 2⁹ = 72531161 is a prime.

It is a super-3 number, since 3×72531673³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72531643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39373 + ... + 41173.

It is an arithmetic number, because the mean of its divisors is an integer number (5060016).

Almost surely, 2^72531673 is an apocalyptic number.

It is an amenable number.

72531673 is a deficient number, since it is larger than the sum of its proper divisors (8428583).

72531673 is a wasteful number, since it uses less digits than its factorization.

72531673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944.

The product of its digits is 26460, while the sum is 34.

The square root of 72531673 is about 8516.5528824754. The cubic root of 72531673 is about 417.0382584462.

The spelling of 72531673 in words is "seventy-two million, five hundred thirty-one thousand, six hundred seventy-three".