272421600 has 288 divisors, whose sum is σ = 1025934336. Its totient is φ = 62054400.

The previous prime is 272421599. The next prime is 272421631. The reversal of 272421600 is 6124272.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448497 + ... + 449103.

It is an arithmetic number, because the mean of its divisors is an integer number (3562272).

Almost surely, 2^272421600 is an apocalyptic number.

272421600 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 272421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512967168).

272421600 is an abundant number, since it is smaller than the sum of its proper divisors (753512736).

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

272421600 is a wasteful number, since it uses less digits than its factorization.

272421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 272421600 is about 16505.1991808642. The cubic root of 272421600 is about 648.2569473311.

Adding to 272421600 its reverse (6124272), we get a palindrome (278545872).

The spelling of 272421600 in words is "two hundred seventy-two million, four hundred twenty-one thousand, six hundred".