72437673 has 16 divisors (see below), whose sum is σ = 120416256. Its totient is φ = 37629840.

The previous prime is 72437657. The next prime is 72437713. The reversal of 72437673 is 37673427.

It is not a de Polignac number, because 72437673 - 2⁴ = 72437657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72437623) 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 15 ways as a sum of consecutive naturals, for example, 156561 + ... + 157022.

It is an arithmetic number, because the mean of its divisors is an integer number (7526016).

Almost surely, 2^72437673 is an apocalyptic number.

It is an amenable number.

72437673 is a deficient number, since it is larger than the sum of its proper divisors (47978583).

72437673 is a wasteful number, since it uses less digits than its factorization.

72437673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313604.

The product of its digits is 148176, while the sum is 39.

The square root of 72437673 is about 8511.0324285600. The cubic root of 72437673 is about 416.8580220438.

The spelling of 72437673 in words is "seventy-two million, four hundred thirty-seven thousand, six hundred seventy-three".