71027712 has 176 divisors, whose sum is σ = 241054720. Its totient is φ = 20238336.

The previous prime is 71027711. The next prime is 71027713. The reversal of 71027712 is 21772017.

It is an interprime number because it is at equal distance from previous prime (71027711) and next prime (71027713).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71027711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193353 + ... + 193719.

Almost surely, 2^71027712 is an apocalyptic number.

71027712 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 71027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120527360).

71027712 is an abundant number, since it is smaller than the sum of its proper divisors (170027008).

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

71027712 is a wasteful number, since it uses less digits than its factorization.

71027712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 379 counting only the distinct ones).

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

The square root of 71027712 is about 8427.7940174164. The cubic root of 71027712 is about 414.1356413345.

Adding to 71027712 its reverse (21772017), we get a palindrome (92799729).

The spelling of 71027712 in words is "seventy-one million, twenty-seven thousand, seven hundred twelve".