71448960 has 256 divisors, whose sum is σ = 264384000. Its totient is φ = 16220160.

The previous prime is 71448917. The next prime is 71448967. The reversal of 71448960 is 6984417.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71448967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358941 + ... + 359139.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^71448960 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 71448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132192000).

71448960 is an abundant number, since it is smaller than the sum of its proper divisors (192935040).

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

71448960 is a wasteful number, since it uses less digits than its factorization.

71448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

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

The square root of 71448960 is about 8452.7486653751. The cubic root of 71448960 is about 414.9527405418.

The spelling of 71448960 in words is "seventy-one million, four hundred forty-eight thousand, nine hundred sixty".