71238960 has 320 divisors, whose sum is σ = 274982400. Its totient is φ = 16837632.

The previous prime is 71238953. The next prime is 71238977. The reversal of 71238960 is 6983217.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1207411 + ... + 1207469.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^71238960 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 71238960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

71238960 is an abundant number, since it is smaller than the sum of its proper divisors (203743440).

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

71238960 is a wasteful number, since it uses less digits than its factorization.

71238960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 71238960 is about 8440.3175295720. The cubic root of 71238960 is about 414.5458039534.

The spelling of 71238960 in words is "seventy-one million, two hundred thirty-eight thousand, nine hundred sixty".