72704200 has 48 divisors (see below), whose sum is σ = 170586180. Its totient is φ = 28815360.

The previous prime is 72704197. The next prime is 72704201. The reversal of 72704200 is 240727.

It can be written as a sum of positive squares in 6 ways, for example, as 19909444 + 52794756 = 4462^2 + 7266^2 .

It is not an unprimeable number, because it can be changed into a prime (72704201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20992 + ... + 24208.

Almost surely, 2^72704200 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 72704200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85293090).

72704200 is an abundant number, since it is smaller than the sum of its proper divisors (97881980).

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

72704200 is a wasteful number, since it uses less digits than its factorization.

72704200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 72704200 is about 8526.6757883715. The cubic root of 72704200 is about 417.3686584118.

Adding to 72704200 its reverse (240727), we get a palindrome (72944927).

The spelling of 72704200 in words is "seventy-two million, seven hundred four thousand, two hundred".