71987700 has 72 divisors (see below), whose sum is σ = 217361088. Its totient is φ = 18360320.

The previous prime is 71987687. The next prime is 71987701. The reversal of 71987700 is 778917.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71987701) 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 23 ways as a sum of consecutive naturals, for example, 1684 + ... + 12116.

It is an arithmetic number, because the mean of its divisors is an integer number (3018904).

Almost surely, 2^71987700 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 71987700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108680544).

71987700 is an abundant number, since it is smaller than the sum of its proper divisors (145373388).

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

71987700 is a wasteful number, since it uses less digits than its factorization.

71987700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10473 (or 10466 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 39.

The square root of 71987700 is about 8484.5565588309. The cubic root of 71987700 is about 415.9930734177.

The spelling of 71987700 in words is "seventy-one million, nine hundred eighty-seven thousand, seven hundred".