71002890 has 96 divisors (see below), whose sum is σ = 215968896. Its totient is φ = 15845760.

The previous prime is 71002831. The next prime is 71002891. The reversal of 71002890 is 9820017.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71002891) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25780 + ... + 28400.

It is an arithmetic number, because the mean of its divisors is an integer number (2249676).

Almost surely, 2^71002890 is an apocalyptic number.

71002890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 71002890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107984448).

71002890 is an abundant number, since it is smaller than the sum of its proper divisors (144966006).

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

71002890 is a wasteful number, since it uses less digits than its factorization.

71002890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2681 counting only the distinct ones).

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

The square root of 71002890 is about 8426.3212613809. The cubic root of 71002890 is about 414.0873931587.

The spelling of 71002890 in words is "seventy-one million, two thousand, eight hundred ninety".