72871673 has 12 divisors (see below), whose sum is σ = 89756532. Its totient is φ = 58786560.

The previous prime is 72871649. The next prime is 72871691. The reversal of 72871673 is 37617827.

It can be written as a sum of positive squares in 2 ways, for example, as 39601849 + 33269824 = 6293^2 + 5768^2 .

It is not a de Polignac number, because 72871673 - 2⁶ = 72871609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72871673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72871633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42908 + ... + 44573.

It is an arithmetic number, because the mean of its divisors is an integer number (7479711).

Almost surely, 2^72871673 is an apocalyptic number.

It is an amenable number.

72871673 is a deficient number, since it is larger than the sum of its proper divisors (16884859).

72871673 is a wasteful number, since it uses less digits than its factorization.

72871673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87512 (or 87505 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 72871673 is about 8536.4906724016. The cubic root of 72871673 is about 417.6888800783.

The spelling of 72871673 in words is "seventy-two million, eight hundred seventy-one thousand, six hundred seventy-three".