71384160 has 96 divisors (see below), whose sum is σ = 226824192. Its totient is φ = 18869760.

The previous prime is 71384153. The next prime is 71384161. The reversal of 71384160 is 6148317.

It is a happy number.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71384161) 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, 60375 + ... + 61545.

It is an arithmetic number, because the mean of its divisors is an integer number (2362752).

Almost surely, 2^71384160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113412096).

71384160 is an abundant number, since it is smaller than the sum of its proper divisors (155440032).

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

71384160 is a wasteful number, since it uses less digits than its factorization.

71384160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 71384160 is about 8448.9147232056. The cubic root of 71384160 is about 414.8272566972.

The spelling of 71384160 in words is "seventy-one million, three hundred eighty-four thousand, one hundred sixty".