272449200 has 120 divisors (see below), whose sum is σ = 902955600. Its totient is φ = 70138880.

The previous prime is 272449187. The next prime is 272449249. The reversal of 272449200 is 2944272.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30886 + ... + 38714.

It is an arithmetic number, because the mean of its divisors is an integer number (7524630).

Almost surely, 2^272449200 is an apocalyptic number.

272449200 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 272449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451477800).

272449200 is an abundant number, since it is smaller than the sum of its proper divisors (630506400).

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

272449200 is a wasteful number, since it uses less digits than its factorization.

272449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 272449200 is about 16506.0352598678. The cubic root of 272449200 is about 648.2788389965.

The spelling of 272449200 in words is "two hundred seventy-two million, four hundred forty-nine thousand, two hundred".