71933312 has 64 divisors (see below), whose sum is σ = 159805440. Its totient is φ = 31971840.

The previous prime is 71933293. The next prime is 71933317. The reversal of 71933312 is 21333917.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71933317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65633 + ... + 66719.

It is an arithmetic number, because the mean of its divisors is an integer number (2496960).

Almost surely, 2^71933312 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 71933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902720).

71933312 is an abundant number, since it is smaller than the sum of its proper divisors (87872128).

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

71933312 is a wasteful number, since it uses less digits than its factorization.

71933312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1147 counting only the distinct ones).

The product of its digits is 3402, while the sum is 29.

The square root of 71933312 is about 8481.3508358044. The cubic root of 71933312 is about 415.8882836108. Note that the first 3 decimals are identical.

The spelling of 71933312 in words is "seventy-one million, nine hundred thirty-three thousand, three hundred twelve".