71540320 has 96 divisors (see below), whose sum is σ = 180442080. Its totient is φ = 26726400.

The previous prime is 71540317. The next prime is 71540323. The reversal of 71540320 is 2304517.

It is an interprime number because it is at equal distance from previous prime (71540317) and next prime (71540323).

It is a junction number, because it is equal to n+sod(n) for n = 71540291 and 71540300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71540323) by changing a digit.

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, 306924 + ... + 307156.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^71540320 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 71540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221040).

71540320 is an abundant number, since it is smaller than the sum of its proper divisors (108901760).

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

71540320 is a wasteful number, since it uses less digits than its factorization.

71540320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 71540320 is about 8458.1510982011. The cubic root of 71540320 is about 415.1295284457.

Adding to 71540320 its reverse (2304517), we get a palindrome (73844837).

The spelling of 71540320 in words is "seventy-one million, five hundred forty thousand, three hundred twenty".