71285280 has 192 divisors, whose sum is σ = 256048128. Its totient is φ = 16501760.

The previous prime is 71285261. The next prime is 71285309. The reversal of 71285280 is 8258217.

It is a super-2 number, since 2×71285280² = 10163182289356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121147 + ... + 121733.

It is an arithmetic number, because the mean of its divisors is an integer number (1333584).

Almost surely, 2^71285280 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 71285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024064).

71285280 is an abundant number, since it is smaller than the sum of its proper divisors (184762848).

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

71285280 is a wasteful number, since it uses less digits than its factorization.

71285280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

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

The square root of 71285280 is about 8443.0610562757. The cubic root of 71285280 is about 414.6356312119.

The spelling of 71285280 in words is "seventy-one million, two hundred eighty-five thousand, two hundred eighty".