55272400 has 30 divisors (see below), whose sum is σ = 132792902. Its totient is φ = 22108800.

The previous prime is 55272383. The next prime is 55272403. The reversal of 55272400 is 427255.

55272400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11235904 + 44036496 = 3352^2 + 6636^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55272403) 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 5 ways as a sum of consecutive naturals, for example, 68691 + ... + 69490.

Almost surely, 2^55272400 is an apocalyptic number.

55272400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55272400 is an abundant number, since it is smaller than the sum of its proper divisors (77520502).

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

55272400 is a wasteful number, since it uses less digits than its factorization.

55272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138199 (or 138188 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 55272400 is about 7434.5410080246. The cubic root of 55272400 is about 380.9220453027.

Adding to 55272400 its reverse (427255), we get a palindrome (55699655).

The spelling of 55272400 in words is "fifty-five million, two hundred seventy-two thousand, four hundred".