71727440 has 80 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 27019776.

The previous prime is 71727433. The next prime is 71727457. The reversal of 71727440 is 4472717.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 71727397 and 71727406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 99401 + ... + 100119.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^71727440 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 71727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

71727440 is an abundant number, since it is smaller than the sum of its proper divisors (105046960).

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

71727440 is a wasteful number, since it uses less digits than its factorization.

71727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 71727440 is about 8469.2053936600. The cubic root of 71727440 is about 415.4911492779.

The spelling of 71727440 in words is "seventy-one million, seven hundred twenty-seven thousand, four hundred forty".