71720000 has 140 divisors (see below), whose sum is σ = 195200016. Its totient is φ = 25920000.

The previous prime is 71719993. The next prime is 71720039. The reversal of 71720000 is 2717.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439919 + ... + 440081.

Almost surely, 2^71720000 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 71720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97600008).

71720000 is an abundant number, since it is smaller than the sum of its proper divisors (123480016).

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

71720000 is a wasteful number, since it uses less digits than its factorization.

71720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 71720000 is about 8468.7661438961. The cubic root of 71720000 is about 415.4767830370.

Adding to 71720000 its reverse (2717), we get a palindrome (71722717).

The spelling of 71720000 in words is "seventy-one million, seven hundred twenty thousand".