71833014 has 128 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 20368800.

The previous prime is 71833001. The next prime is 71833019. The reversal of 71833014 is 41033817.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71833019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865417 + ... + 865499.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^71833014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71833014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

71833014 is an abundant number, since it is smaller than the sum of its proper divisors (113961546).

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

71833014 is a wasteful number, since it uses less digits than its factorization.

71833014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71833014 is about 8475.4359179927. The cubic root of 71833014 is about 415.6949000267.

The spelling of 71833014 in words is "seventy-one million, eight hundred thirty-three thousand, fourteen".