71744736 has 96 divisors (see below), whose sum is σ = 216615168. Its totient is φ = 20367360.

The previous prime is 71744707. The next prime is 71744737. The reversal of 71744736 is 63744717.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 71744694 and 71744703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71744737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161731 + ... + 162173.

It is an arithmetic number, because the mean of its divisors is an integer number (2256408).

Almost surely, 2^71744736 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 71744736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108307584).

71744736 is an abundant number, since it is smaller than the sum of its proper divisors (144870432).

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

71744736 is a wasteful number, since it uses less digits than its factorization.

71744736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its digits is 98784, while the sum is 39.

The square root of 71744736 is about 8470.2264432540. The cubic root of 71744736 is about 415.5245430872.

The spelling of 71744736 in words is "seventy-one million, seven hundred forty-four thousand, seven hundred thirty-six".