71600256 has 192 divisors, whose sum is σ = 253955520. Its totient is φ = 18855936.

The previous prime is 71600237. The next prime is 71600261. The reversal of 71600256 is 65200617.

71600256 is a `hidden beast` number, since 7 + 1 + 600 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104491 + ... + 105173.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 2^71600256 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 71600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

71600256 is an abundant number, since it is smaller than the sum of its proper divisors (182355264).

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

71600256 is a wasteful number, since it uses less digits than its factorization.

71600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71600256 is about 8461.6934475316. The cubic root of 71600256 is about 415.2454269964.

The spelling of 71600256 in words is "seventy-one million, six hundred thousand, two hundred fifty-six".