71741520 has 120 divisors (see below), whose sum is σ = 247535496. Its totient is φ = 18607104.

The previous prime is 71741507. The next prime is 71741521. The reversal of 71741520 is 2514717.

71741520 is a `hidden beast` number, since 71 + 74 + 1 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 54997056 = 4092^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71741521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25294 + ... + 27986.

Almost surely, 2^71741520 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 71741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123767748).

71741520 is an abundant number, since it is smaller than the sum of its proper divisors (175793976).

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

71741520 is a wasteful number, since it uses less digits than its factorization.

71741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 71741520 is about 8470.0365996848. The cubic root of 71741520 is about 415.5183342837.

The spelling of 71741520 in words is "seventy-one million, seven hundred forty-one thousand, five hundred twenty".