71248416 has 96 divisors (see below), whose sum is σ = 195955200. Its totient is φ = 22640640.

The previous prime is 71248369. The next prime is 71248433. The reversal of 71248416 is 61484217.

71248416 = 1501² + 1502² + ... + 1531².

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 264730 + ... + 264998.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^71248416 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 71248416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97977600).

71248416 is an abundant number, since it is smaller than the sum of its proper divisors (124706784).

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

71248416 is a wasteful number, since it uses less digits than its factorization.

71248416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 71248416 is about 8440.8776794833. The cubic root of 71248416 is about 414.5641449084.

The spelling of 71248416 in words is "seventy-one million, two hundred forty-eight thousand, four hundred sixteen".