71824320 has 280 divisors, whose sum is σ = 272180304. Its totient is φ = 17915904.

The previous prime is 71824297. The next prime is 71824321. The reversal of 71824320 is 2342817.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71824321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440559 + ... + 440721.

Almost surely, 2^71824320 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 71824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136090152).

71824320 is an abundant number, since it is smaller than the sum of its proper divisors (200355984).

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

71824320 is a wasteful number, since it uses less digits than its factorization.

71824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

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

The square root of 71824320 is about 8474.9230084998. The cubic root of 71824320 is about 415.6781287351.

The spelling of 71824320 in words is "seventy-one million, eight hundred twenty-four thousand, three hundred twenty".