71710272 has 196 divisors, whose sum is σ = 224873820. Its totient is φ = 22643712.

The previous prime is 71710259. The next prime is 71710279. The reversal of 71710272 is 27201717.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 26873856 = 6696^2 + 5184^2 .

It is a super-2 number, since 2×71710272² = 10284726220627968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71710279) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1352998 + ... + 1353050.

Almost surely, 2^71710272 is an apocalyptic number.

71710272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112436910).

71710272 is an abundant number, since it is smaller than the sum of its proper divisors (153163548).

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

71710272 is an equidigital number, since it uses as much as digits as its factorization.

71710272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 71710272 is about 8468.1917786503. The cubic root of 71710272 is about 415.4579972920.

Adding to 71710272 its reverse (27201717), we get a palindrome (98911989).

The spelling of 71710272 in words is "seventy-one million, seven hundred ten thousand, two hundred seventy-two".