72875673 has 24 divisors (see below), whose sum is σ = 116915040. Its totient is φ = 44843760.

The previous prime is 72875657. The next prime is 72875687. The reversal of 72875673 is 37657827.

72875673 is a `hidden beast` number, since 7 + 2 + 87 + 567 + 3 = 666.

It is not a de Polignac number, because 72875673 - 2⁴ = 72875657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72875623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3423 + ... + 12548.

It is an arithmetic number, because the mean of its divisors is an integer number (4871460).

Almost surely, 2^72875673 is an apocalyptic number.

It is an amenable number.

72875673 is a deficient number, since it is larger than the sum of its proper divisors (44039367).

72875673 is a wasteful number, since it uses less digits than its factorization.

72875673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16006 (or 15987 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 72875673 is about 8536.7249574998. The cubic root of 72875673 is about 417.6965223939.

The spelling of 72875673 in words is "seventy-two million, eight hundred seventy-five thousand, six hundred seventy-three".