71283744 has 144 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 19284480.

The previous prime is 71283733. The next prime is 71283757. The reversal of 71283744 is 44738217.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71283699 and 71283708.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37374 + ... + 39234.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^71283744 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 71283744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

71283744 is an abundant number, since it is smaller than the sum of its proper divisors (172712736).

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

71283744 is a wasteful number, since it uses less digits than its factorization.

71283744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1892 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 71283744 is about 8442.9700935157. The cubic root of 71283744 is about 414.6326531081.

It can be divided in two parts, 71283 and 744, that added together give a palindrome (72027).

The spelling of 71283744 in words is "seventy-one million, two hundred eighty-three thousand, seven hundred forty-four".