71331516 has 60 divisors (see below), whose sum is σ = 187952688. Its totient is φ = 23588928.

The previous prime is 71331511. The next prime is 71331577. The reversal of 71331516 is 61513317.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71331516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71331511) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43585 + ... + 45191.

Almost surely, 2^71331516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71331516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93976344).

71331516 is an abundant number, since it is smaller than the sum of its proper divisors (116621172).

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

71331516 is a wasteful number, since it uses less digits than its factorization.

71331516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1749 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 71331516 is about 8445.7987188898. The cubic root of 71331516 is about 414.7252567733.

It can be divided in two parts, 7133 and 1516, that added together give a square (8649 = 93²).

The spelling of 71331516 in words is "seventy-one million, three hundred thirty-one thousand, five hundred sixteen".