71728192 has 56 divisors (see below), whose sum is σ = 152440640. Its totient is φ = 33384960.

The previous prime is 71728187. The next prime is 71728193. The reversal of 71728192 is 29182717.

It is not an unprimeable number, because it can be changed into a prime (71728193) 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, 73693 + ... + 74659.

Almost surely, 2^71728192 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 71728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76220320).

71728192 is an abundant number, since it is smaller than the sum of its proper divisors (80712448).

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

71728192 is a wasteful number, since it uses less digits than its factorization.

71728192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its digits is 14112, while the sum is 37.

The square root of 71728192 is about 8469.2497896803. The cubic root of 71728192 is about 415.4926012942.

The spelling of 71728192 in words is "seventy-one million, seven hundred twenty-eight thousand, one hundred ninety-two".