71407296 has 84 divisors (see below), whose sum is σ = 206282544. Its totient is φ = 23616000.

The previous prime is 71407289. The next prime is 71407321. The reversal of 71407296 is 69270417.

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 a self number, because there is not a number n which added to its sum of digits gives 71407296.

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, 86566 + ... + 87386.

Almost surely, 2^71407296 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 71407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103141272).

71407296 is an abundant number, since it is smaller than the sum of its proper divisors (134875248).

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

71407296 is a wasteful number, since it uses less digits than its factorization.

71407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

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

The square root of 71407296 is about 8450.2837822170. The cubic root of 71407296 is about 414.8720677904.

The spelling of 71407296 in words is "seventy-one million, four hundred seven thousand, two hundred ninety-six".