71870112 has 96 divisors (see below), whose sum is σ = 211196160. Its totient is φ = 23777280.

The previous prime is 71870107. The next prime is 71870119. The reversal of 71870112 is 21107817.

It is a tau number, because it is divible by the number of its divisors (96).

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 (71870119) 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, 166537 + ... + 166967.

It is an arithmetic number, because the mean of its divisors is an integer number (2199960).

Almost surely, 2^71870112 is an apocalyptic number.

71870112 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 71870112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105598080).

71870112 is an abundant number, since it is smaller than the sum of its proper divisors (139326048).

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

71870112 is a wasteful number, since it uses less digits than its factorization.

71870112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 71870112 is about 8477.6241954925. The cubic root of 71870112 is about 415.7664492792.

Adding to 71870112 its reverse (21107817), we get a palindrome (92977929).

The spelling of 71870112 in words is "seventy-one million, eight hundred seventy thousand, one hundred twelve".