71342960 has 80 divisors (see below), whose sum is σ = 180092640. Its totient is φ = 26127360.

The previous prime is 71342933. The next prime is 71342983. The reversal of 71342960 is 6924317.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188051 + ... + 188429.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^71342960 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 71342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046320).

71342960 is an abundant number, since it is smaller than the sum of its proper divisors (108749680).

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

71342960 is a wasteful number, since it uses less digits than its factorization.

71342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 71342960 is about 8446.4761883285. The cubic root of 71342960 is about 414.7474342638.

The spelling of 71342960 in words is "seventy-one million, three hundred forty-two thousand, nine hundred sixty".