71535760 has 60 divisors (see below), whose sum is σ = 175605948. Its totient is φ = 27097344.

The previous prime is 71535733. The next prime is 71535767. The reversal of 71535760 is 6753517.

It can be written as a sum of positive squares in 2 ways, for example, as 30780304 + 40755456 = 5548^2 + 6384^2 .

It is not an unprimeable number, because it can be changed into a prime (71535767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27642 + ... + 30118.

Almost surely, 2^71535760 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 71535760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87802974).

71535760 is an abundant number, since it is smaller than the sum of its proper divisors (104070188).

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

71535760 is a wasteful number, since it uses less digits than its factorization.

71535760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 34.

The square root of 71535760 is about 8457.8815314475. The cubic root of 71535760 is about 415.1207081009.

The spelling of 71535760 in words is "seventy-one million, five hundred thirty-five thousand, seven hundred sixty".