71631360 has 120 divisors (see below), whose sum is σ = 248159340. Its totient is φ = 19095552.

The previous prime is 71631347. The next prime is 71631377. The reversal of 71631360 is 6313617.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 4260096 = 8208^2 + 2064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 21486 + ... + 24594.

Almost surely, 2^71631360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124079670).

71631360 is an abundant number, since it is smaller than the sum of its proper divisors (176527980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71631360 is a wasteful number, since it uses less digits than its factorization.

71631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 71631360 is about 8463.5311779422. The cubic root of 71631360 is about 415.3055474703.

Adding to 71631360 its reverse (6313617), we get a palindrome (77944977).

The spelling of 71631360 in words is "seventy-one million, six hundred thirty-one thousand, three hundred sixty".