71351000 has 64 divisors (see below), whose sum is σ = 190831680. Its totient is φ = 24460800.

The previous prime is 71350999. The next prime is 71351041. The reversal of 71351000 is 15317.

It is a self number, because there is not a number n which added to its sum of digits gives 71351000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1904 + ... + 12096.

It is an arithmetic number, because the mean of its divisors is an integer number (2981745).

Almost surely, 2^71351000 is an apocalyptic number.

71351000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95415840).

71351000 is an abundant number, since it is smaller than the sum of its proper divisors (119480680).

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

71351000 is a wasteful number, since it uses less digits than its factorization.

71351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10221 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 71351000 is about 8446.9521130405. The cubic root of 71351000 is about 414.7630136759.

Adding to 71351000 its reverse (15317), we get a palindrome (71366317).

The spelling of 71351000 in words is "seventy-one million, three hundred fifty-one thousand".