71681412 has 48 divisors (see below), whose sum is σ = 183258432. Its totient is φ = 21626880.

The previous prime is 71681411. The next prime is 71681413. The reversal of 71681412 is 21418617.

It is an interprime number because it is at equal distance from previous prime (71681411) and next prime (71681413).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71681412.

It is not an unprimeable number, because it can be changed into a prime (71681411) 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, 32868 + ... + 34980.

It is an arithmetic number, because the mean of its divisors is an integer number (3817884).

Almost surely, 2^71681412 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 71681412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91629216).

71681412 is an abundant number, since it is smaller than the sum of its proper divisors (111577020).

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

71681412 is a wasteful number, since it uses less digits than its factorization.

71681412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 71681412 is about 8466.4875834079. The cubic root of 71681412 is about 415.4022557350.

It can be divided in two parts, 716 and 81412, that added together give a palindrome (82128).

The spelling of 71681412 in words is "seventy-one million, six hundred eighty-one thousand, four hundred twelve".