71289737893920 has 1920 divisors, whose sum is σ = 308392046807040. Its totient is φ = 13698385182720.

The previous prime is 71289737893853. The next prime is 71289737893939. The reversal of 71289737893920 is 2939873798217.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7895635966 + ... + 7895644994.

It is an arithmetic number, because the mean of its divisors is an integer number (160620857712).

Almost surely, 2^{71289737893920} is an apocalyptic number.

71289737893920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71289737893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154196023403520).

71289737893920 is an abundant number, since it is smaller than the sum of its proper divisors (237102308913120).

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

71289737893920 is a wasteful number, since it uses less digits than its factorization.

71289737893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9107 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 75.

The spelling of 71289737893920 in words is "seventy-one trillion, two hundred eighty-nine billion, seven hundred thirty-seven million, eight hundred ninety-three thousand, nine hundred twenty".