272120400 has 180 divisors, whose sum is σ = 951217020. Its totient is φ = 72038400.

The previous prime is 272120399. The next prime is 272120419. The reversal of 272120400 is 4021272.

It can be written as a sum of positive squares in 6 ways, for example, as 26132544 + 245987856 = 5112^2 + 15684^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 968260 + ... + 968540.

It is an arithmetic number, because the mean of its divisors is an integer number (5284539).

Almost surely, 2^272120400 is an apocalyptic number.

272120400 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 272120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475608510).

272120400 is an abundant number, since it is smaller than the sum of its proper divisors (679096620).

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

272120400 is a wasteful number, since it uses less digits than its factorization.

272120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 272120400 is about 16496.0722597835. The cubic root of 272120400 is about 648.0179464623.

Adding to 272120400 its reverse (4021272), we get a palindrome (276141672).

The spelling of 272120400 in words is "two hundred seventy-two million, one hundred twenty thousand, four hundred".