71830720 has 112 divisors (see below), whose sum is σ = 190487808. Its totient is φ = 25620480.

The previous prime is 71830699. The next prime is 71830721. The reversal of 71830720 is 2703817.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71830721) 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, 128682 + ... + 129238.

It is an arithmetic number, because the mean of its divisors is an integer number (1700784).

Almost surely, 2^71830720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904).

71830720 is an abundant number, since it is smaller than the sum of its proper divisors (118657088).

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

71830720 is a wasteful number, since it uses less digits than its factorization.

71830720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 71830720 is about 8475.3005846401. The cubic root of 71830720 is about 415.6904748829.

The spelling of 71830720 in words is "seventy-one million, eight hundred thirty thousand, seven hundred twenty".