71960160 has 96 divisors (see below), whose sum is σ = 228124512. Its totient is φ = 19066880.

The previous prime is 71960159. The next prime is 71960171. The reversal of 71960160 is 6106917.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94180 + ... + 94940.

It is an arithmetic number, because the mean of its divisors is an integer number (2376297).

Almost surely, 2^71960160 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 71960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114062256).

71960160 is an abundant number, since it is smaller than the sum of its proper divisors (156164352).

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

71960160 is a wasteful number, since it uses less digits than its factorization.

71960160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 71960160 is about 8482.9334548846. The cubic root of 71960160 is about 415.9400184722.

The spelling of 71960160 in words is "seventy-one million, nine hundred sixty thousand, one hundred sixty".