71643000 has 256 divisors, whose sum is σ = 264176640. Its totient is φ = 15936000.

The previous prime is 71642959. The next prime is 71643001. The reversal of 71643000 is 34617.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71643001) 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 63 ways as a sum of consecutive naturals, for example, 428917 + ... + 429083.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^71643000 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 71643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

71643000 is an abundant number, since it is smaller than the sum of its proper divisors (192533640).

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

71643000 is a wasteful number, since it uses less digits than its factorization.

71643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 71643000 is about 8464.2188062455. The cubic root of 71643000 is about 415.3280417835.

Adding to 71643000 its reverse (34617), we get a palindrome (71677617).

The spelling of 71643000 in words is "seventy-one million, six hundred forty-three thousand".