71505480 has 64 divisors (see below), whose sum is σ = 218583360. Its totient is φ = 18706688.

The previous prime is 71505461. The next prime is 71505487. The reversal of 71505480 is 8450517.

It is a super-2 number, since 2×71505480² = 10226067340060800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (71505487) 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, 739 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (3415365).

Almost surely, 2^71505480 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 71505480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109291680).

71505480 is an abundant number, since it is smaller than the sum of its proper divisors (147077880).

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

71505480 is a wasteful number, since it uses less digits than its factorization.

71505480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11310 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 71505480 is about 8456.0912956283. The cubic root of 71505480 is about 415.0621284059.

Adding to 71505480 its reverse (8450517), we get a palindrome (79955997).

The spelling of 71505480 in words is "seventy-one million, five hundred five thousand, four hundred eighty".