71872631 has 16 divisors (see below), whose sum is σ = 77414400. Its totient is φ = 66559680.

The previous prime is 71872597. The next prime is 71872637. The reversal of 71872631 is 13627817.

It is a cyclic number.

It is not a de Polignac number, because 71872631 - 2¹⁰ = 71871607 is a prime.

It is a super-2 number, since 2×71872631² = 10331350173724322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71872591 and 71872600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71872637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187466 + ... + 187848.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2^71872631 is an apocalyptic number.

71872631 is a deficient number, since it is larger than the sum of its proper divisors (5541769).

71872631 is a wasteful number, since it uses less digits than its factorization.

71872631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646.

The product of its digits is 14112, while the sum is 35.

The square root of 71872631 is about 8477.7727617577. The cubic root of 71872631 is about 415.7713066691.

The spelling of 71872631 in words is "seventy-one million, eight hundred seventy-two thousand, six hundred thirty-one".