71822160 has 160 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 18662400.

The previous prime is 71822159. The next prime is 71822197. The reversal of 71822160 is 6122817.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 88155 + ... + 88965.

It is an arithmetic number, because the mean of its divisors is an integer number (1585836).

Almost surely, 2^71822160 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 71822160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

71822160 is an abundant number, since it is smaller than the sum of its proper divisors (181911600).

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

71822160 is a wasteful number, since it uses less digits than its factorization.

71822160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71822160 is about 8474.7955727557. The cubic root of 71822160 is about 415.6739617447.

Adding to 71822160 its reverse (6122817), we get a palindrome (77944977).

The spelling of 71822160 in words is "seventy-one million, eight hundred twenty-two thousand, one hundred sixty".