71312670 has 128 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 15949440.

The previous prime is 71312669. The next prime is 71312693. The reversal of 71312670 is 7621317.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37687 + ... + 39533.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 2^71312670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71312670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

71312670 is an abundant number, since it is smaller than the sum of its proper divisors (152221410).

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

71312670 is a wasteful number, since it uses less digits than its factorization.

71312670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 71312670 is about 8444.6829425385. The cubic root of 71312670 is about 414.6887296716.

Adding to 71312670 its reverse (7621317), we get a palindrome (78933987).

It can be divided in two parts, 7131 and 2670, that added together give a square (9801 = 99²).

The spelling of 71312670 in words is "seventy-one million, three hundred twelve thousand, six hundred seventy".