71378784 has 144 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 21934080.

The previous prime is 71378761. The next prime is 71378789. The reversal of 71378784 is 48787317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71378789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298537 + ... + 298775.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^71378784 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 71378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

71378784 is an abundant number, since it is smaller than the sum of its proper divisors (147982176).

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

71378784 is a wasteful number, since it uses less digits than its factorization.

71378784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 71378784 is about 8448.5965698452. The cubic root of 71378784 is about 414.8168427748.

It can be divided in two parts, 713 and 78784, that added together give a palindrome (79497).

The spelling of 71378784 in words is "seventy-one million, three hundred seventy-eight thousand, seven hundred eighty-four".