72187871 has 16 divisors (see below), whose sum is σ = 85985280. Its totient is φ = 59300640.

The previous prime is 72187861. The next prime is 72187889. The reversal of 72187871 is 17878127.

It is not a de Polignac number, because 72187871 - 2⁶ = 72187807 is a prime.

It is a super-2 number, since 2×72187871² = 10422177439025282, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72187861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21665 + ... + 24773.

It is an arithmetic number, because the mean of its divisors is an integer number (5374080).

Almost surely, 2^72187871 is an apocalyptic number.

72187871 is a deficient number, since it is larger than the sum of its proper divisors (13797409).

72187871 is a wasteful number, since it uses less digits than its factorization.

72187871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254.

The product of its digits is 43904, while the sum is 41.

The square root of 72187871 is about 8496.3445669299. The cubic root of 72187871 is about 416.3782905580.

The spelling of 72187871 in words is "seventy-two million, one hundred eighty-seven thousand, eight hundred seventy-one".