71905890 has 64 divisors (see below), whose sum is σ = 201839616. Its totient is φ = 16051392.

The previous prime is 71905871. The next prime is 71905891. The reversal of 71905890 is 9850917.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71905891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5049 + ... + 13011.

It is an arithmetic number, because the mean of its divisors is an integer number (3153744).

Almost surely, 2^71905890 is an apocalyptic number.

71905890 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 71905890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100919808).

71905890 is an abundant number, since it is smaller than the sum of its proper divisors (129933726).

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

71905890 is a wasteful number, since it uses less digits than its factorization.

71905890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023.

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 71905890 is about 8479.7340760191. The cubic root of 71905890 is about 415.8354293875.

The spelling of 71905890 in words is "seventy-one million, nine hundred five thousand, eight hundred ninety".