71068320 has 96 divisors (see below), whose sum is σ = 248754240. Its totient is φ = 18950400.

The previous prime is 71068297. The next prime is 71068363. The reversal of 71068320 is 2386017.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×71068320² = 10101412215244800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3906 + ... + 12545.

It is an arithmetic number, because the mean of its divisors is an integer number (2591190).

Almost surely, 2^71068320 is an apocalyptic number.

It is an amenable number.

71068320 is an abundant number, since it is smaller than the sum of its proper divisors (177685920).

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

71068320 is a wasteful number, since it uses less digits than its factorization.

71068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16475 (or 16461 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71068320 is about 8430.2028445346. The cubic root of 71068320 is about 414.2145495791.

The spelling of 71068320 in words is "seventy-one million, sixty-eight thousand, three hundred twenty".