71961760 has 96 divisors (see below), whose sum is σ = 189559440. Its totient is φ = 25632768.

The previous prime is 71961749. The next prime is 71961767. The reversal of 71961760 is 6716917.

It can be written as a sum of positive squares in 8 ways, for example, as 18905104 + 53056656 = 4348^2 + 7284^2 .

It is not an unprimeable number, because it can be changed into a prime (71961767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59724 + ... + 60916.

Almost surely, 2^71961760 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 71961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94779720).

71961760 is an abundant number, since it is smaller than the sum of its proper divisors (117597680).

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

71961760 is a wasteful number, since it uses less digits than its factorization.

71961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The square root of 71961760 is about 8483.0277613597. The cubic root of 71961760 is about 415.9431011923.

The spelling of 71961760 in words is "seventy-one million, nine hundred sixty-one thousand, seven hundred sixty".