71111400 has 96 divisors (see below), whose sum is σ = 230074560. Its totient is φ = 18135040.

The previous prime is 71111371. The next prime is 71111413. The reversal of 71111400 is 411117.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 71111400.

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, 11224 + ... + 16376.

It is an arithmetic number, because the mean of its divisors is an integer number (2396610).

Almost surely, 2^71111400 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 71111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115037280).

71111400 is an abundant number, since it is smaller than the sum of its proper divisors (158963160).

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

71111400 is a wasteful number, since it uses less digits than its factorization.

71111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 71111400 is about 8432.7575561023. The cubic root of 71111400 is about 414.2982284878.

Adding to 71111400 its reverse (411117), we get a palindrome (71522517).

The spelling of 71111400 in words is "seventy-one million, one hundred eleven thousand, four hundred".