71290080 has 144 divisors (see below), whose sum is σ = 251282304. Its totient is φ = 18385920.

The previous prime is 71290057. The next prime is 71290099. The reversal of 71290080 is 8009217.

It is a tau number, because it is divible by the number of its divisors (144).

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, 43842 + ... + 45438.

It is an arithmetic number, because the mean of its divisors is an integer number (1745016).

Almost surely, 2^71290080 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 71290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125641152).

71290080 is an abundant number, since it is smaller than the sum of its proper divisors (179992224).

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

71290080 is a wasteful number, since it uses less digits than its factorization.

71290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 71290080 is about 8443.3453085847. The cubic root of 71290080 is about 414.6449375108.

Adding to 71290080 its reverse (8009217), we get a palindrome (79299297).

The spelling of 71290080 in words is "seventy-one million, two hundred ninety thousand, eighty".