71888320 has 112 divisors (see below), whose sum is σ = 198973440. Its totient is φ = 24228864.

The previous prime is 71888279. The next prime is 71888321. The reversal of 71888320 is 2388817.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 71888320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71888321) 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 15 ways as a sum of consecutive naturals, for example, 149841 + ... + 150319.

Almost surely, 2^71888320 is an apocalyptic number.

71888320 is a gapful number since it is divisible by the number (70) 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 71888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720).

71888320 is an abundant number, since it is smaller than the sum of its proper divisors (127085120).

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

71888320 is a wasteful number, since it uses less digits than its factorization.

71888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 71888320 is about 8478.6980132565. The cubic root of 71888320 is about 415.8015572265.

The spelling of 71888320 in words is "seventy-one million, eight hundred eighty-eight thousand, three hundred twenty".