71727828 has 48 divisors (see below), whose sum is σ = 181004544. Its totient is φ = 22021120.

The previous prime is 71727809. The next prime is 71727833. The reversal of 71727828 is 82872717.

It is a self number, because there is not a number n which added to its sum of digits gives 71727828.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5848 + ... + 13328.

It is an arithmetic number, because the mean of its divisors is an integer number (3770928).

Almost surely, 2^71727828 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 71727828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90502272).

71727828 is an abundant number, since it is smaller than the sum of its proper divisors (109276716).

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

71727828 is a wasteful number, since it uses less digits than its factorization.

71727828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 7550 counting only the distinct ones).

The product of its digits is 87808, while the sum is 42.

The square root of 71727828 is about 8469.2283001464. The cubic root of 71727828 is about 415.4918984578.

The spelling of 71727828 in words is "seventy-one million, seven hundred twenty-seven thousand, eight hundred twenty-eight".