71341920 has 288 divisors, whose sum is σ = 271881792. Its totient is φ = 16920576.

The previous prime is 71341901. The next prime is 71341961. The reversal of 71341920 is 2914317.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692589 + ... + 692691.

It is an arithmetic number, because the mean of its divisors is an integer number (944034).

Almost surely, 2^71341920 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 71341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940896).

71341920 is an abundant number, since it is smaller than the sum of its proper divisors (200539872).

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

71341920 is a wasteful number, since it uses less digits than its factorization.

71341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71341920 is about 8446.4146239692. The cubic root of 71341920 is about 414.7454189310.

The spelling of 71341920 in words is "seventy-one million, three hundred forty-one thousand, nine hundred twenty".