71296704 has 84 divisors (see below), whose sum is σ = 209412840. Its totient is φ = 23178240.

The previous prime is 71296699. The next prime is 71296727. The reversal of 71296704 is 40769217.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22107 + ... + 25125.

It is an arithmetic number, because the mean of its divisors is an integer number (2493010).

Almost surely, 2^71296704 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 71296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104706420).

71296704 is an abundant number, since it is smaller than the sum of its proper divisors (138116136).

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

71296704 is a wasteful number, since it uses less digits than its factorization.

71296704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 71296704 is about 8443.7375610567. The cubic root of 71296704 is about 414.6577795173.

The spelling of 71296704 in words is "seventy-one million, two hundred ninety-six thousand, seven hundred four".