71790144 has 56 divisors (see below), whose sum is σ = 192389760. Its totient is φ = 23622144.

The previous prime is 71790097. The next prime is 71790157. The reversal of 71790144 is 44109717.

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, 12802 + ... + 17534.

Almost surely, 2^71790144 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 71790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96194880).

71790144 is an abundant number, since it is smaller than the sum of its proper divisors (120599616).

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

71790144 is a wasteful number, since it uses less digits than its factorization.

71790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 71790144 is about 8472.9064670867. The cubic root of 71790144 is about 415.6121878878.

The spelling of 71790144 in words is "seventy-one million, seven hundred ninety thousand, one hundred forty-four".