71520672 has 48 divisors (see below), whose sum is σ = 188244000. Its totient is φ = 23776512.

The previous prime is 71520671. The next prime is 71520679. The reversal of 71520672 is 27602517.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (71520671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47158 + ... + 48650.

It is an arithmetic number, because the mean of its divisors is an integer number (3921750).

Almost surely, 2^71520672 is an apocalyptic number.

It is an amenable number.

71520672 is an abundant number, since it is smaller than the sum of its proper divisors (116723328).

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

71520672 is a wasteful number, since it uses less digits than its factorization.

71520672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 71520672 is about 8456.9895352897. The cubic root of 71520672 is about 415.0915209194.

The spelling of 71520672 in words is "seventy-one million, five hundred twenty thousand, six hundred seventy-two".