71120 has 40 divisors (see below), whose sum is σ = 190464. Its totient is φ = 24192.

The previous prime is 71119. The next prime is 71129. The reversal of 71120 is 2117.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497 + ... + 623.

2⁷¹¹²⁰ is an apocalyptic number.

71120 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 71120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95232).

71120 is an abundant number, since it is smaller than the sum of its proper divisors (119344).

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

71120 is a wasteful number, since it uses less digits than its factorization.

71120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 71120 is about 266.6833328125. The cubic root of 71120 is about 41.4314929144.

Adding to 71120 its reverse (2117), we get a palindrome (73237).

It can be divided in two parts, 71 and 120, that added together give a palindrome (191).

The spelling of 71120 in words is "seventy-one thousand, one hundred twenty", and thus it is an iban number.