272021200 has 120 divisors (see below), whose sum is σ = 718766496. Its totient is φ = 98112000.

The previous prime is 272021153. The next prime is 272021201. The reversal of 272021200 is 2120272.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928254 + ... + 928546.

Almost surely, 2^272021200 is an apocalyptic number.

272021200 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 272021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359383248).

272021200 is an abundant number, since it is smaller than the sum of its proper divisors (446745296).

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

272021200 is a wasteful number, since it uses less digits than its factorization.

272021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 272021200 is about 16493.0652093539. The cubic root of 272021200 is about 647.9391930952.

Adding to 272021200 its reverse (2120272), we get a palindrome (274141472).

The spelling of 272021200 in words is "two hundred seventy-two million, twenty-one thousand, two hundred".