71960448 has 128 divisors (see below), whose sum is σ = 230112000. Its totient is φ = 19464192.

The previous prime is 71960443. The next prime is 71960461. The reversal of 71960448 is 84406917.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71960443) 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, 50368 + ... + 51776.

It is an arithmetic number, because the mean of its divisors is an integer number (1797750).

Almost surely, 2^71960448 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 71960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115056000).

71960448 is an abundant number, since it is smaller than the sum of its proper divisors (158151552).

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

71960448 is a wasteful number, since it uses less digits than its factorization.

71960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 71960448 is about 8482.9504301275. The cubic root of 71960448 is about 415.9405733652.

The spelling of 71960448 in words is "seventy-one million, nine hundred sixty thousand, four hundred forty-eight".