71806368 has 96 divisors (see below), whose sum is σ = 208365696. Its totient is φ = 21536768.

The previous prime is 71806337. The next prime is 71806369. The reversal of 71806368 is 86360817.

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

It is not an unprimeable number, because it can be changed into a prime (71806369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36580 + ... + 38492.

It is an arithmetic number, because the mean of its divisors is an integer number (2170476).

Almost surely, 2^71806368 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 71806368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104182848).

71806368 is an abundant number, since it is smaller than the sum of its proper divisors (136559328).

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

71806368 is a wasteful number, since it uses less digits than its factorization.

71806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 71806368 is about 8473.8638176454. The cubic root of 71806368 is about 415.6434938762.

The spelling of 71806368 in words is "seventy-one million, eight hundred six thousand, three hundred sixty-eight".