71003920 has 80 divisors (see below), whose sum is σ = 180613440. Its totient is φ = 25800192.

The previous prime is 71003899. The next prime is 71003953. The reversal of 71003920 is 2930017.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 71003891 and 71003900.

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 15 ways as a sum of consecutive naturals, for example, 69171 + ... + 70189.

It is an arithmetic number, because the mean of its divisors is an integer number (2257668).

Almost surely, 2^71003920 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 71003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90306720).

71003920 is an abundant number, since it is smaller than the sum of its proper divisors (109609520).

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

71003920 is a wasteful number, since it uses less digits than its factorization.

71003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 71003920 is about 8426.3823791708. The cubic root of 71003920 is about 414.0893954619.

Adding to 71003920 its reverse (2930017), we get a palindrome (73933937).

The spelling of 71003920 in words is "seventy-one million, three thousand, nine hundred twenty".