71854080 has 96 divisors (see below), whose sum is σ = 229975200. Its totient is φ = 19152896.

The previous prime is 71854051. The next prime is 71854091. The reversal of 71854080 is 8045817.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29551 + ... + 31889.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^71854080 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 71854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114987600).

71854080 is an abundant number, since it is smaller than the sum of its proper divisors (158121120).

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

71854080 is a wasteful number, since it uses less digits than its factorization.

71854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 71854080 is about 8476.6785948271. The cubic root of 71854080 is about 415.7355321000.

Adding to 71854080 its reverse (8045817), we get a palindrome (79899897).

The spelling of 71854080 in words is "seventy-one million, eight hundred fifty-four thousand, eighty".