71113120 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 25973760.

The previous prime is 71113111. The next prime is 71113183. The reversal of 71113120 is 2131117.

It is a super-2 number, since 2×71113120² = 10114151672268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 71113094 and 71113103.

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 15 ways as a sum of consecutive naturals, for example, 372225 + ... + 372415.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^71113120 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 71113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

71113120 is an abundant number, since it is smaller than the sum of its proper divisors (111778400).

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

71113120 is a wasteful number, since it uses less digits than its factorization.

71113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 71113120 is about 8432.8595387330. The cubic root of 71113120 is about 414.3015687268.

Adding to 71113120 its reverse (2131117), we get a palindrome (73244237).

It can be divided in two parts, 711 and 13120, that added together give a palindrome (13831).

The spelling of 71113120 in words is "seventy-one million, one hundred thirteen thousand, one hundred twenty".