71200000 has 108 divisors (see below), whose sum is σ = 179636940. Its totient is φ = 28160000.

The previous prime is 71199991. The next prime is 71200001. The reversal of 71200000 is 217.

It can be written as a sum of positive squares in 6 ways, for example, as 66324736 + 4875264 = 8144^2 + 2208^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 71200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71200001) 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 11 ways as a sum of consecutive naturals, for example, 799956 + ... + 800044.

It is an arithmetic number, because the mean of its divisors is an integer number (1663305).

Almost surely, 2^71200000 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 71200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89818470).

71200000 is an abundant number, since it is smaller than the sum of its proper divisors (108436940).

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

71200000 is an frugal number, since it uses more digits than its factorization.

71200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 71200000 is about 8438.0092438916. The cubic root of 71200000 is about 414.4702196119.

Adding to 71200000 its reverse (217), we get a palindrome (71200217).

The spelling of 71200000 in words is "seventy-one million, two hundred thousand".