71145120 has 192 divisors, whose sum is σ = 244944000. Its totient is φ = 17289216.

The previous prime is 71145079. The next prime is 71145121. The reversal of 71145120 is 2154117.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71145121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264346 + ... + 264614.

It is an arithmetic number, because the mean of its divisors is an integer number (1275750).

Almost surely, 2^71145120 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 71145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

71145120 is an abundant number, since it is smaller than the sum of its proper divisors (173798880).

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

71145120 is a wasteful number, since it uses less digits than its factorization.

71145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 71145120 is about 8434.7566651327. The cubic root of 71145120 is about 414.3637028876.

Adding to 71145120 its reverse (2154117), we get a palindrome (73299237).

The spelling of 71145120 in words is "seventy-one million, one hundred forty-five thousand, one hundred twenty".