71137296 has 60 divisors (see below), whose sum is σ = 203958300. Its totient is φ = 23132160.

The previous prime is 71137279. The next prime is 71137307. The reversal of 71137296 is 69273117.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 48441600 = 4764^2 + 6960^2 .

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 71137296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121 + ... + 11928.

It is an arithmetic number, because the mean of its divisors is an integer number (3399305).

Almost surely, 2^71137296 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 71137296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101979150).

71137296 is an abundant number, since it is smaller than the sum of its proper divisors (132821004).

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

71137296 is a wasteful number, since it uses less digits than its factorization.

71137296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12095 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 71137296 is about 8434.2928571398. The cubic root of 71137296 is about 414.3485128064.

The spelling of 71137296 in words is "seventy-one million, one hundred thirty-seven thousand, two hundred ninety-six".