71640192 has 128 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 21676032.

The previous prime is 71640187. The next prime is 71640211. The reversal of 71640192 is 29104617.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 564033 + ... + 564159.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^71640192 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 71640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

71640192 is an abundant number, since it is smaller than the sum of its proper divisors (136733568).

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

71640192 is a wasteful number, since it uses less digits than its factorization.

71640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 71640192 is about 8464.0529298912. The cubic root of 71640192 is about 415.3226155433.

The spelling of 71640192 in words is "seventy-one million, six hundred forty thousand, one hundred ninety-two".