272472200 has 192 divisors, whose sum is σ = 851195520. Its totient is φ = 78336000.

The previous prime is 272472199. The next prime is 272472203. The reversal of 272472200 is 2274272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 272472200.

It is not an unprimeable number, because it can be changed into a prime (272472203) 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 47 ways as a sum of consecutive naturals, for example, 199520 + ... + 200880.

It is an arithmetic number, because the mean of its divisors is an integer number (4433310).

Almost surely, 2^272472200 is an apocalyptic number.

272472200 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 272472200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425597760).

272472200 is an abundant number, since it is smaller than the sum of its proper divisors (578723320).

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

272472200 is a wasteful number, since it uses less digits than its factorization.

272472200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 272472200 is about 16506.7319600216. The cubic root of 272472200 is about 648.2970809217.

The spelling of 272472200 in words is "two hundred seventy-two million, four hundred seventy-two thousand, two hundred".