71488680 has 64 divisors (see below), whose sum is σ = 217209600. Its totient is φ = 18819840.

The previous prime is 71488667. The next prime is 71488687. The reversal of 71488680 is 8688417.

It is a super-2 number, since 2×71488680² = 10221262736284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71488687) 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, 5710 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (3393900).

Almost surely, 2^71488680 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 71488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108604800).

71488680 is an abundant number, since it is smaller than the sum of its proper divisors (145720920).

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

71488680 is a wasteful number, since it uses less digits than its factorization.

71488680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7634 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 71488680 is about 8455.0978705158. The cubic root of 71488680 is about 415.0296199887.

The spelling of 71488680 in words is "seventy-one million, four hundred eighty-eight thousand, six hundred eighty".