71378496 has 210 divisors, whose sum is σ = 247009158. Its totient is φ = 20321280.

The previous prime is 71378491. The next prime is 71378519. The reversal of 71378496 is 69487317.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 6350400 = 8064^2 + 2520^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (71378491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253876 + ... + 254156.

Almost surely, 2^71378496 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 71378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123504579).

71378496 is an abundant number, since it is smaller than the sum of its proper divisors (175630662).

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

71378496 is a wasteful number, since it uses less digits than its factorization.

71378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 71378496 is about 8448.5795255771. The cubic root of 71378496 is about 414.8162848713.

The spelling of 71378496 in words is "seventy-one million, three hundred seventy-eight thousand, four hundred ninety-six".