71140160 has 168 divisors, whose sum is σ = 212826600. Its totient is φ = 22450176.

The previous prime is 71140141. The next prime is 71140171. The reversal of 71140160 is 6104117.

71140160 = T₄₅₆ + T₄₅₇ + ... + T₈₀₄.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 66846976 = 2072^2 + 8176^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203666 + ... + 204014.

It is an arithmetic number, because the mean of its divisors is an integer number (1266825).

Almost surely, 2^71140160 is an apocalyptic number.

71140160 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 71140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106413300).

71140160 is an abundant number, since it is smaller than the sum of its proper divisors (141686440).

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

71140160 is a wasteful number, since it uses less digits than its factorization.

71140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 71140160 is about 8434.4626384850. The cubic root of 71140160 is about 414.3540733130.

Adding to 71140160 its reverse (6104117), we get a palindrome (77244277).

The spelling of 71140160 in words is "seventy-one million, one hundred forty thousand, one hundred sixty".