71800344 has 160 divisors (see below), whose sum is σ = 250905600. Its totient is φ = 18636480.

The previous prime is 71800343. The next prime is 71800357. The reversal of 71800344 is 44300817.

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 (71800343) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 49177 + ... + 50615.

It is an arithmetic number, because the mean of its divisors is an integer number (1568160).

Almost surely, 2^71800344 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 71800344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

71800344 is an abundant number, since it is smaller than the sum of its proper divisors (179105256).

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

71800344 is a wasteful number, since it uses less digits than its factorization.

71800344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71800344 is about 8473.5083643081. The cubic root of 71800344 is about 415.6318704576.

The spelling of 71800344 in words is "seventy-one million, eight hundred thousand, three hundred forty-four".