71536080 has 320 divisors, whose sum is σ = 285696000. Its totient is φ = 14676480.

The previous prime is 71536079. The next prime is 71536093. The reversal of 71536080 is 8063517.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 905481 + ... + 905559.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^71536080 is an apocalyptic number.

71536080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

71536080 is an abundant number, since it is smaller than the sum of its proper divisors (214159920).

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

71536080 is a wasteful number, since it uses less digits than its factorization.

71536080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 71536080 is about 8457.9004486929. The cubic root of 71536080 is about 415.1213270847.

Adding to 71536080 its reverse (8063517), we get a palindrome (79599597).

The spelling of 71536080 in words is "seventy-one million, five hundred thirty-six thousand, eighty".