71947668 has 48 divisors (see below), whose sum is σ = 183879360. Its totient is φ = 21759744.

The previous prime is 71947649. The next prime is 71947669. The reversal of 71947668 is 86674917.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71947669) 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, 5296 + ... + 13112.

It is an arithmetic number, because the mean of its divisors is an integer number (3830820).

Almost surely, 2^71947668 is an apocalyptic number.

71947668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71947668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91939680).

71947668 is an abundant number, since it is smaller than the sum of its proper divisors (111931692).

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

71947668 is a wasteful number, since it uses less digits than its factorization.

71947668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7896 (or 7894 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 71947668 is about 8482.1971210294. The cubic root of 71947668 is about 415.9159485637.

The spelling of 71947668 in words is "seventy-one million, nine hundred forty-seven thousand, six hundred sixty-eight".