71294304 has 48 divisors (see below), whose sum is σ = 188310528. Its totient is φ = 23617152.

The previous prime is 71294297. The next prime is 71294317. The reversal of 71294304 is 40349217.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13809 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (3923136).

Almost surely, 2^71294304 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 71294304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94155264).

71294304 is an abundant number, since it is smaller than the sum of its proper divisors (117016224).

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

71294304 is a wasteful number, since it uses less digits than its factorization.

71294304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 71294304 is about 8443.5954427009. The cubic root of 71294304 is about 414.6531267083.

The spelling of 71294304 in words is "seventy-one million, two hundred ninety-four thousand, three hundred four".