71000448 has 64 divisors (see below), whose sum is σ = 196819200. Its totient is φ = 22635008.

The previous prime is 71000429. The next prime is 71000453. The reversal of 71000448 is 84400017.

71000448 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4813 + ... + 12851.

It is an arithmetic number, because the mean of its divisors is an integer number (3075300).

Almost surely, 2^71000448 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 71000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98409600).

71000448 is an abundant number, since it is smaller than the sum of its proper divisors (125818752).

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

71000448 is a wasteful number, since it uses less digits than its factorization.

71000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079 (or 8067 counting only the distinct ones).

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

The square root of 71000448 is about 8426.1763570436. The cubic root of 71000448 is about 414.0826458730.

The spelling of 71000448 in words is "seventy-one million, four hundred forty-eight", and thus it is an aban number.