71788896 has 48 divisors (see below), whose sum is σ = 209386800. Its totient is φ = 23929344.

The previous prime is 71788883. The next prime is 71788903. The reversal of 71788896 is 69888717.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40681 + ... + 42408.

It is an arithmetic number, because the mean of its divisors is an integer number (4362225).

Almost surely, 2^71788896 is an apocalyptic number.

It is an amenable number.

71788896 is an abundant number, since it is smaller than the sum of its proper divisors (137597904).

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

71788896 is a wasteful number, since it uses less digits than its factorization.

71788896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83108 (or 83094 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The square root of 71788896 is about 8472.8328202556. The cubic root of 71788896 is about 415.6097795395.

The spelling of 71788896 in words is "seventy-one million, seven hundred eighty-eight thousand, eight hundred ninety-six".