71794944 has 288 divisors, whose sum is σ = 247242240. Its totient is φ = 20348928.

The previous prime is 71794909. The next prime is 71794949. The reversal of 71794944 is 44949717.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 71794944.

It is not an unprimeable number, because it can be changed into a prime (71794949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1527529 + ... + 1527575.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^71794944 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 71794944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

71794944 is an abundant number, since it is smaller than the sum of its proper divisors (175447296).

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

71794944 is a wasteful number, since it uses less digits than its factorization.

71794944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 71794944 is about 8473.1897181640. The cubic root of 71794944 is about 415.6214505058.

The spelling of 71794944 in words is "seventy-one million, seven hundred ninety-four thousand, nine hundred forty-four".