71872 has 14 divisors (see below), whose sum is σ = 142748. Its totient is φ = 35904.

The previous prime is 71867. The next prime is 71879. The reversal of 71872 is 27817.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498 + ... + 625.

2⁷¹⁸⁷² is an apocalyptic number.

It is an amenable number.

71872 is a deficient number, since it is larger than the sum of its proper divisors (70876).

71872 is a wasteful number, since it uses less digits than its factorization.

71872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1125 counting only the distinct ones).

The product of its digits is 784, while the sum is 25.

The square root of 71872 is about 268.0895372819. The cubic root of 71872 is about 41.5770089922.

The spelling of 71872 in words is "seventy-one thousand, eight hundred seventy-two".