71627112 has 128 divisors (see below), whose sum is σ = 216576000. Its totient is φ = 21850560.

The previous prime is 71627099. The next prime is 71627113. The reversal of 71627112 is 21172617.

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 (71627113) 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 31 ways as a sum of consecutive naturals, for example, 126943 + ... + 127505.

It is an arithmetic number, because the mean of its divisors is an integer number (1692000).

Almost surely, 2^71627112 is an apocalyptic number.

71627112 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 71627112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108288000).

71627112 is an abundant number, since it is smaller than the sum of its proper divisors (144948888).

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

71627112 is a wasteful number, since it uses less digits than its factorization.

71627112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 71627112 is about 8463.2802151412. The cubic root of 71627112 is about 415.2973375985.

Adding to 71627112 its reverse (21172617), we get a palindrome (92799729).

The spelling of 71627112 in words is "seventy-one million, six hundred twenty-seven thousand, one hundred twelve".