71134800 has 240 divisors, whose sum is σ = 264036672. Its totient is φ = 16179200.

The previous prime is 71134793. The next prime is 71134813. The reversal of 71134800 is 843117.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224242 + ... + 224558.

Almost surely, 2^71134800 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 71134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132018336).

71134800 is an abundant number, since it is smaller than the sum of its proper divisors (192901872).

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

71134800 is a wasteful number, since it uses less digits than its factorization.

71134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 71134800 is about 8434.1448884875. The cubic root of 71134800 is about 414.3436666566.

Adding to 71134800 its reverse (843117), we get a palindrome (71977917).

It can be divided in two parts, 711 and 34800, that added together give a triangular number (35511 = T₂₆₆).

The spelling of 71134800 in words is "seventy-one million, one hundred thirty-four thousand, eight hundred".