71896160 has 96 divisors (see below), whose sum is σ = 202632192. Its totient is φ = 23569920.

The previous prime is 71896157. The next prime is 71896169. The reversal of 71896160 is 6169817.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71896169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24365 + ... + 27155.

It is an arithmetic number, because the mean of its divisors is an integer number (2110752).

Almost surely, 2^71896160 is an apocalyptic number.

71896160 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 71896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101316096).

71896160 is an abundant number, since it is smaller than the sum of its proper divisors (130736032).

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

71896160 is a wasteful number, since it uses less digits than its factorization.

71896160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 71896160 is about 8479.1603357880. The cubic root of 71896160 is about 415.8166721794.

The spelling of 71896160 in words is "seventy-one million, eight hundred ninety-six thousand, one hundred sixty".