71282000 has 80 divisors (see below), whose sum is σ = 178448400. Its totient is φ = 27507200.

The previous prime is 71281997. The next prime is 71282021. The reversal of 71282000 is 28217.

It can be written as a sum of positive squares in 8 ways, for example, as 4631104 + 66650896 = 2152^2 + 8164^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×71282000² = 10162247048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57386 + ... + 58614.

It is an arithmetic number, because the mean of its divisors is an integer number (2230605).

Almost surely, 2^71282000 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 71282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89224200).

71282000 is an abundant number, since it is smaller than the sum of its proper divisors (107166400).

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

71282000 is a wasteful number, since it uses less digits than its factorization.

71282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 71282000 is about 8442.8668116938. The cubic root of 71282000 is about 414.6292716674.

The spelling of 71282000 in words is "seventy-one million, two hundred eighty-two thousand".