71319312 has 80 divisors (see below), whose sum is σ = 215512000. Its totient is φ = 22519296.

The previous prime is 71319307. The next prime is 71319317. The reversal of 71319312 is 21391317.

It is an interprime number because it is at equal distance from previous prime (71319307) and next prime (71319317).

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 (71319317) 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, 3864 + ... + 12552.

It is an arithmetic number, because the mean of its divisors is an integer number (2693900).

Almost surely, 2^71319312 is an apocalyptic number.

71319312 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 71319312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107756000).

71319312 is an abundant number, since it is smaller than the sum of its proper divisors (144192688).

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

71319312 is a wasteful number, since it uses less digits than its factorization.

71319312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8713 counting only the distinct ones).

The product of its digits is 1134, while the sum is 27.

The square root of 71319312 is about 8445.0761985905. The cubic root of 71319312 is about 414.7016038543.

It can be divided in two parts, 71319 and 312, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 71319312 in words is "seventy-one million, three hundred nineteen thousand, three hundred twelve".