71166304 has 48 divisors (see below), whose sum is σ = 153827856. Its totient is φ = 32140800.

The previous prime is 71166287. The next prime is 71166307. The reversal of 71166304 is 40366117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71166307) 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 7 ways as a sum of consecutive naturals, for example, 63154 + ... + 64270.

It is an arithmetic number, because the mean of its divisors is an integer number (3204747).

Almost surely, 2^71166304 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 71166304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76913928).

71166304 is an abundant number, since it is smaller than the sum of its proper divisors (82661552).

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

71166304 is a wasteful number, since it uses less digits than its factorization.

71166304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 71166304 is about 8436.0123281086. The cubic root of 71166304 is about 414.4048254533.

It can be divided in two parts, 71 and 166304, that added together give a cube (166375 = 55³).

The spelling of 71166304 in words is "seventy-one million, one hundred sixty-six thousand, three hundred four".