71966320 has 40 divisors (see below), whose sum is σ = 169627536. Its totient is φ = 28389888.

The previous prime is 71966309. The next prime is 71966327. The reversal of 71966320 is 2366917.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71966327) 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 7 ways as a sum of consecutive naturals, for example, 322 + ... + 12001.

Almost surely, 2^71966320 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 71966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84813768).

71966320 is an abundant number, since it is smaller than the sum of its proper divisors (97661216).

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

71966320 is a wasteful number, since it uses less digits than its factorization.

71966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12409 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 71966320 is about 8483.2965290623. The cubic root of 71966320 is about 415.9518866940.

The spelling of 71966320 in words is "seventy-one million, nine hundred sixty-six thousand, three hundred twenty".