71288256 has 84 divisors (see below), whose sum is σ = 204334872. Its totient is φ = 21934848.

The previous prime is 71288153. The next prime is 71288263. The reversal of 71288256 is 65288217.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (53760) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5483706 + ... + 5483718.

It is an arithmetic number, because the mean of its divisors is an integer number (2432558).

Almost surely, 2^71288256 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 71288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102167436).

71288256 is an abundant number, since it is smaller than the sum of its proper divisors (133046616).

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

71288256 is an frugal number, since it uses more digits than its factorization.

71288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 18 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 71288256 is about 8443.2372938346. The cubic root of 71288256 is about 414.6414011664.

Subtracting from 71288256 its sum of digits (39), we obtain a palindrome (71288217).

Multiplying 71288256 by its sum of digits (39), we get a square (2780241984 = 52728²).

71288256 divided by its sum of digits (39) gives a square (1827904 = 1352²).

The spelling of 71288256 in words is "seventy-one million, two hundred eighty-eight thousand, two hundred fifty-six".