71608320 has 384 divisors, whose sum is σ = 298771200. Its totient is φ = 15925248.

The previous prime is 71608261. The next prime is 71608367. The reversal of 71608320 is 2380617.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935342 + ... + 1935378.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^71608320 is an apocalyptic number.

71608320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

71608320 is an abundant number, since it is smaller than the sum of its proper divisors (227162880).

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

71608320 is a wasteful number, since it uses less digits than its factorization.

71608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71608320 is about 8462.1699344790. The cubic root of 71608320 is about 415.2610154575.

Adding to 71608320 its reverse (2380617), we get a palindrome (73988937).

The spelling of 71608320 in words is "seventy-one million, six hundred eight thousand, three hundred twenty".