272200000 has 84 divisors (see below), whose sum is σ = 675636444. Its totient is φ = 108800000.

The previous prime is 272199979. The next prime is 272200031. The reversal of 272200000 is 2272.

It can be written as a sum of positive squares in 6 ways, for example, as 255488256 + 16711744 = 15984^2 + 4088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199320 + ... + 200680.

It is an arithmetic number, because the mean of its divisors is an integer number (8043291).

Almost surely, 2^272200000 is an apocalyptic number.

272200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337818222).

272200000 is an abundant number, since it is smaller than the sum of its proper divisors (403436444).

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

272200000 is an frugal number, since it uses more digits than its factorization.

272200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 272200000 is about 16498.4847789123. The cubic root of 272200000 is about 648.0811258488.

Adding to 272200000 its reverse (2272), we get a palindrome (272202272).

The spelling of 272200000 in words is "two hundred seventy-two million, two hundred thousand".