71141400 has 144 divisors (see below), whose sum is σ = 260708760. Its totient is φ = 17241600.

The previous prime is 71141381. The next prime is 71141401. The reversal of 71141400 is 414117.

It is a super-2 number, since 2×71141400² = 10122197587920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71141401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18004 + ... + 21596.

Almost surely, 2^71141400 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 71141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130354380).

71141400 is an abundant number, since it is smaller than the sum of its proper divisors (189567360).

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

71141400 is a wasteful number, since it uses less digits than its factorization.

71141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71141400 is about 8434.5361461079. The cubic root of 71141400 is about 414.3564807486.

Adding to 71141400 its reverse (414117), we get a palindrome (71555517).

The spelling of 71141400 in words is "seventy-one million, one hundred forty-one thousand, four hundred".