71988384 has 96 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 21537792.

The previous prime is 71988383. The next prime is 71988401. The reversal of 71988384 is 48388917.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71988383) 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, 45397 + ... + 46955.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^71988384 is an apocalyptic number.

71988384 is a gapful number since it is divisible by the number (74) 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 71988384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

71988384 is an abundant number, since it is smaller than the sum of its proper divisors (137151456).

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

71988384 is a wasteful number, since it uses less digits than its factorization.

71988384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1614 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 71988384 is about 8484.5968672648. The cubic root of 71988384 is about 415.9943909500.

The spelling of 71988384 in words is "seventy-one million, nine hundred eighty-eight thousand, three hundred eighty-four".