71436560 has 80 divisors (see below), whose sum is σ = 180457200. Its totient is φ = 26142720.

The previous prime is 71436557. The next prime is 71436571. The reversal of 71436560 is 6563417.

It can be written as a sum of positive squares in 8 ways, for example, as 21196816 + 50239744 = 4604^2 + 7088^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×71436560³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154730 + ... + 155190.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715).

Almost surely, 2^71436560 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 71436560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90228600).

71436560 is an abundant number, since it is smaller than the sum of its proper divisors (109020640).

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

71436560 is a wasteful number, since it uses less digits than its factorization.

71436560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 71436560 is about 8452.0151443310. The cubic root of 71436560 is about 414.9287340731.

Adding to 71436560 its reverse (6563417), we get a palindrome (77999977).

The spelling of 71436560 in words is "seventy-one million, four hundred thirty-six thousand, five hundred sixty".