71351760 has 80 divisors (see below), whose sum is σ = 222396480. Its totient is φ = 18923520.

The previous prime is 71351747. The next prime is 71351789. The reversal of 71351760 is 6715317.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 49936 + ... + 51344.

It is an arithmetic number, because the mean of its divisors is an integer number (2779956).

Almost surely, 2^71351760 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 71351760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111198240).

71351760 is an abundant number, since it is smaller than the sum of its proper divisors (151044720).

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

71351760 is a wasteful number, since it uses less digits than its factorization.

71351760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 71351760 is about 8446.9970995615. The cubic root of 71351760 is about 414.7644862961.

The spelling of 71351760 in words is "seventy-one million, three hundred fifty-one thousand, seven hundred sixty".