71687392 has 72 divisors (see below), whose sum is σ = 165904200. Its totient is φ = 30401280.

The previous prime is 71687381. The next prime is 71687417. The reversal of 71687392 is 29378617.

It is a happy number.

Its product of digits (127008) is a multiple of the sum of its prime factors (504).

71687392 is a modest number, since divided by 7392 gives 7168 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205234 + ... + 205582.

It is an arithmetic number, because the mean of its divisors is an integer number (2304225).

Almost surely, 2^71687392 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 71687392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82952100).

71687392 is an abundant number, since it is smaller than the sum of its proper divisors (94216808).

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

71687392 is a wasteful number, since it uses less digits than its factorization.

71687392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 71687392 is about 8466.8407331188. The cubic root of 71687392 is about 415.4138070160.

The spelling of 71687392 in words is "seventy-one million, six hundred eighty-seven thousand, three hundred ninety-two".