71814600 has 480 divisors, whose sum is σ = 302480640. Its totient is φ = 15552000.

The previous prime is 71814599. The next prime is 71814607. The reversal of 71814600 is 641817.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71814607) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2316585 + ... + 2316615.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^71814600 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 71814600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

71814600 is an abundant number, since it is smaller than the sum of its proper divisors (230666040).

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

71814600 is a wasteful number, since it uses less digits than its factorization.

71814600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71814600 is about 8474.3495325600. The cubic root of 71814600 is about 415.6593766203.

It can be divided in two parts, 7181 and 4600, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 71814600 in words is "seventy-one million, eight hundred fourteen thousand, six hundred".