71200840290 has 64 divisors (see below), whose sum is σ = 174003327360. Its totient is φ = 18641226240.

The previous prime is 71200840289. The next prime is 71200840313. The reversal of 71200840290 is 9204800217.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965446 + ... + 1036574.

It is an arithmetic number, because the mean of its divisors is an integer number (2718801990).

Almost surely, 2^71200840290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71200840290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87001663680).

71200840290 is an abundant number, since it is smaller than the sum of its proper divisors (102802487070).

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

71200840290 is a wasteful number, since it uses less digits than its factorization.

71200840290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71747.

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 71200840290 in words is "seventy-one billion, two hundred million, eight hundred forty thousand, two hundred ninety".