71984616 has 128 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 20321280.

The previous prime is 71984611. The next prime is 71984621. The reversal of 71984616 is 61648917.

It is an interprime number because it is at equal distance from previous prime (71984611) and next prime (71984621).

It is not an unprimeable number, because it can be changed into a prime (71984611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566745 + ... + 566871.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 2^71984616 is an apocalyptic number.

71984616 is a gapful number since it is divisible by the number (76) 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 71984616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105062400).

71984616 is an abundant number, since it is smaller than the sum of its proper divisors (138140184).

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

71984616 is a wasteful number, since it uses less digits than its factorization.

71984616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 71984616 is about 8484.3748149171. The cubic root of 71984616 is about 415.9871328614.

The spelling of 71984616 in words is "seventy-one million, nine hundred eighty-four thousand, six hundred sixteen".