71890 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 22464.

The previous prime is 71887. The next prime is 71899. The reversal of 71890 is 9817.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁷¹⁸⁹⁰ is an apocalyptic number.

71890 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71890 is an abundant number, since it is smaller than the sum of its proper divisors (89390).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

71890 is a wasteful number, since it uses less digits than its factorization.

71890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 71890 is about 268.1231060539. The cubic root of 71890 is about 41.5804796237.

It can be divided in two parts, 718 and 90, that multiplied together give a triangular number (64620 = T₃₅₉).

The spelling of 71890 in words is "seventy-one thousand, eight hundred ninety".