71727800 has 96 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 26505600.

The previous prime is 71727797. The next prime is 71727809. The reversal of 71727800 is 872717.

71727800 = T₁₁ + T₁₂ + ... + T₇₅₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71727809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 142349 + ... + 142851.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^71727800 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 71727800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

71727800 is an abundant number, since it is smaller than the sum of its proper divisors (108260680).

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

71727800 is a wasteful number, since it uses less digits than its factorization.

71727800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The square root of 71727800 is about 8469.2266471030. The cubic root of 71727800 is about 415.4918443934.

It can be divided in two parts, 71727 and 800, that added together give a palindrome (72527).

The spelling of 71727800 in words is "seventy-one million, seven hundred twenty-seven thousand, eight hundred".