71506080 has 288 divisors, whose sum is σ = 271724544. Its totient is φ = 17031168.

The previous prime is 71506051. The next prime is 71506087. The reversal of 71506080 is 8060517.

71506080 is a `hidden beast` number, since 7 + 1 + 50 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×71506080² = 10226238953932800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71506087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562977 + ... + 563103.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 2^71506080 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 71506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

71506080 is an abundant number, since it is smaller than the sum of its proper divisors (200218464).

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

71506080 is a wasteful number, since it uses less digits than its factorization.

71506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71506080 is about 8456.1267729381. The cubic root of 71506080 is about 415.0632893267.

Adding to 71506080 its reverse (8060517), we get a palindrome (79566597).

The spelling of 71506080 in words is "seventy-one million, five hundred six thousand, eighty".