71518272 has 112 divisors (see below), whose sum is σ = 218480640. Its totient is φ = 20224512.

The previous prime is 71518267. The next prime is 71518277. The reversal of 71518272 is 27281517.

It is an interprime number because it is at equal distance from previous prime (71518267) and next prime (71518277).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×71518272² = 10229726459731968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71518277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170479 + ... + 170897.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2^71518272 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 71518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109240320).

71518272 is an abundant number, since it is smaller than the sum of its proper divisors (146962368).

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

71518272 is a wasteful number, since it uses less digits than its factorization.

71518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 71518272 is about 8456.8476396350. The cubic root of 71518272 is about 415.0868778292.

Adding to 71518272 its reverse (27281517), we get a palindrome (98799789).

The spelling of 71518272 in words is "seventy-one million, five hundred eighteen thousand, two hundred seventy-two".