71001300 has 72 divisors (see below), whose sum is σ = 206361792. Its totient is φ = 18848000.

The previous prime is 71001269. The next prime is 71001311. The reversal of 71001300 is 310017.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 92920 + ... + 93680.

It is an arithmetic number, because the mean of its divisors is an integer number (2866136).

Almost surely, 2^71001300 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 71001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896).

71001300 is an abundant number, since it is smaller than the sum of its proper divisors (135360492).

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

71001300 is a wasteful number, since it uses less digits than its factorization.

71001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 71001300 is about 8426.2269136310. The cubic root of 71001300 is about 414.0843021865.

Adding to 71001300 its reverse (310017), we get a palindrome (71311317).

The spelling of 71001300 in words is "seventy-one million, one thousand, three hundred".