71290560 has 224 divisors, whose sum is σ = 254276352. Its totient is φ = 16773120.

The previous prime is 71290519. The next prime is 71290567. The reversal of 71290560 is 6509217.

It is a super-2 number, since 2×71290560² = 10164687890227200, 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 (71290567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454002 + ... + 454158.

Almost surely, 2^71290560 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 71290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127138176).

71290560 is an abundant number, since it is smaller than the sum of its proper divisors (182985792).

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

71290560 is a wasteful number, since it uses less digits than its factorization.

71290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 71290560 is about 8443.3737332893. The cubic root of 71290560 is about 414.6458681177.

Adding to 71290560 its reverse (6509217), we get a palindrome (77799777).

The spelling of 71290560 in words is "seventy-one million, two hundred ninety thousand, five hundred sixty".