71218560 has 192 divisors, whose sum is σ = 264420720. Its totient is φ = 16257024.

The previous prime is 71218549. The next prime is 71218571. The reversal of 71218560 is 6581217.

It is an interprime number because it is at equal distance from previous prime (71218549) and next prime (71218571).

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93702 + ... + 94458.

Almost surely, 2^71218560 is an apocalyptic number.

71218560 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 71218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132210360).

71218560 is an abundant number, since it is smaller than the sum of its proper divisors (193202160).

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

71218560 is a wasteful number, since it uses less digits than its factorization.

71218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 71218560 is about 8439.1089577040. The cubic root of 71218560 is about 414.5062303747.

Adding to 71218560 its reverse (6581217), we get a palindrome (77799777).

The spelling of 71218560 in words is "seventy-one million, two hundred eighteen thousand, five hundred sixty".