71322048 has 252 divisors, whose sum is σ = 251612400. Its totient is φ = 19305216.

The previous prime is 71322007. The next prime is 71322061. The reversal of 71322048 is 84022317.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3753783 + ... + 3753801.

Almost surely, 2^71322048 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 71322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125806200).

71322048 is an abundant number, since it is smaller than the sum of its proper divisors (180290352).

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

71322048 is a wasteful number, since it uses less digits than its factorization.

71322048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71322048 is about 8445.2381849182. The cubic root of 71322048 is about 414.7069068083.

It can be divided in two parts, 7132 and 2048, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 71322048 in words is "seventy-one million, three hundred twenty-two thousand, forty-eight".