71456672 has 48 divisors (see below), whose sum is σ = 163078272. Its totient is φ = 30186240.

The previous prime is 71456659. The next prime is 71456719. The reversal of 71456672 is 27665417.

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, 13658 + ... + 18150.

It is an arithmetic number, because the mean of its divisors is an integer number (3397464).

Almost surely, 2^71456672 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 71456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81539136).

71456672 is an abundant number, since it is smaller than the sum of its proper divisors (91621600).

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

71456672 is a wasteful number, since it uses less digits than its factorization.

71456672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4581 (or 4573 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 71456672 is about 8453.2048360370. The cubic root of 71456672 is about 414.9676696157.

The spelling of 71456672 in words is "seventy-one million, four hundred fifty-six thousand, six hundred seventy-two".