71667648 has 168 divisors, whose sum is σ = 234653328. Its totient is φ = 20717568.

The previous prime is 71667647. The next prime is 71667649. The reversal of 71667648 is 84676617.

It is an interprime number because it is at equal distance from previous prime (71667647) and next prime (71667649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71667643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127015 + ... + 127577.

It is an arithmetic number, because the mean of its divisors is an integer number (1396746).

Almost surely, 2^71667648 is an apocalyptic number.

71667648 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 71667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117326664).

71667648 is an abundant number, since it is smaller than the sum of its proper divisors (162985680).

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

71667648 is a wasteful number, since it uses less digits than its factorization.

71667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 71667648 is about 8465.6746925452. The cubic root of 71667648 is about 415.3756660307.

The spelling of 71667648 in words is "seventy-one million, six hundred sixty-seven thousand, six hundred forty-eight".