71873312 has 48 divisors (see below), whose sum is σ = 164162880. Its totient is φ = 30336768.

The previous prime is 71873309. The next prime is 71873341. The reversal of 71873312 is 21337817.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12614 + ... + 17402.

It is an arithmetic number, because the mean of its divisors is an integer number (3420060).

Almost surely, 2^71873312 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 71873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82081440).

71873312 is an abundant number, since it is smaller than the sum of its proper divisors (92289568).

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

71873312 is a wasteful number, since it uses less digits than its factorization.

71873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4865 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 71873312 is about 8477.8129255133. The cubic root of 71873312 is about 415.7726198224.

The spelling of 71873312 in words is "seventy-one million, eight hundred seventy-three thousand, three hundred twelve".