71448000 has 224 divisors, whose sum is σ = 255178560. Its totient is φ = 17510400.

The previous prime is 71447993. The next prime is 71448001. The reversal of 71448000 is 84417.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71448001) 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, 311886 + ... + 312114.

It is an arithmetic number, because the mean of its divisors is an integer number (1139190).

Almost surely, 2^71448000 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 71448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127589280).

71448000 is an abundant number, since it is smaller than the sum of its proper divisors (183730560).

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

71448000 is a wasteful number, since it uses less digits than its factorization.

71448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 71448000 is about 8452.6918789224. The cubic root of 71448000 is about 414.9508820757.

The spelling of 71448000 in words is "seventy-one million, four hundred forty-eight thousand".