71568672 has 48 divisors (see below), whose sum is σ = 214708032. Its totient is φ = 20448000.

The previous prime is 71568631. The next prime is 71568697. The reversal of 71568672 is 27686517.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52579 + ... + 53922.

It is an arithmetic number, because the mean of its divisors is an integer number (4473084).

Almost surely, 2^71568672 is an apocalyptic number.

It is an amenable number.

71568672 is an abundant number, since it is smaller than the sum of its proper divisors (143139360).

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

71568672 is a wasteful number, since it uses less digits than its factorization.

71568672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106521 (or 106513 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 71568672 is about 8459.8269485847. The cubic root of 71568672 is about 415.1843609184.

The spelling of 71568672 in words is "seventy-one million, five hundred sixty-eight thousand, six hundred seventy-two".