71616500 has 48 divisors (see below), whose sum is σ = 160095936. Its totient is φ = 27972000.

The previous prime is 71616437. The next prime is 71616509. The reversal of 71616500 is 561617.

It is a self number, because there is not a number n which added to its sum of digits gives 71616500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71616509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19835 + ... + 23165.

It is an arithmetic number, because the mean of its divisors is an integer number (3335332).

Almost surely, 2^71616500 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 71616500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80047968).

71616500 is an abundant number, since it is smaller than the sum of its proper divisors (88479436).

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

71616500 is a wasteful number, since it uses less digits than its factorization.

71616500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 71616500 is about 8462.6532482431. The cubic root of 71616500 is about 415.2768269618.

The spelling of 71616500 in words is "seventy-one million, six hundred sixteen thousand, five hundred".