71965908 has 108 divisors (see below), whose sum is σ = 219596832. Its totient is φ = 20548080.

The previous prime is 71965903. The next prime is 71965931. The reversal of 71965908 is 80956917.

71965908 = 1⁵ + 2⁵ + ... + 27⁵.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71965903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46873 + ... + 48383.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^71965908 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 71965908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109798416).

71965908 is an abundant number, since it is smaller than the sum of its proper divisors (147630924).

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

71965908 is a wasteful number, since it uses less digits than its factorization.

71965908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 71965908 is about 8483.2722460145. The cubic root of 71965908 is about 415.9510929314.

The spelling of 71965908 in words is "seventy-one million, nine hundred sixty-five thousand, nine hundred eight".