71753540 has 48 divisors (see below), whose sum is σ = 156930480. Its totient is φ = 27525120.

The previous prime is 71753527. The next prime is 71753551. The reversal of 71753540 is 4535717.

It can be written as a sum of positive squares in 8 ways, for example, as 114244 + 71639296 = 338^2 + 8464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71753497 and 71753506.

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, 111620 + ... + 112260.

It is an arithmetic number, because the mean of its divisors is an integer number (3269385).

Almost surely, 2^71753540 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 71753540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78465240).

71753540 is an abundant number, since it is smaller than the sum of its proper divisors (85176940).

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

71753540 is a wasteful number, since it uses less digits than its factorization.

71753540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 71753540 is about 8470.7461300643. The cubic root of 71753540 is about 415.5415391237.

The spelling of 71753540 in words is "seventy-one million, seven hundred fifty-three thousand, five hundred forty".