272056400 has 240 divisors, whose sum is σ = 832887168. Its totient is φ = 83635200.

The previous prime is 272056391. The next prime is 272056429. The reversal of 272056400 is 4650272.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 272056400.

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, 3726764 + ... + 3726836.

Almost surely, 2^272056400 is an apocalyptic number.

272056400 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 272056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416443584).

272056400 is an abundant number, since it is smaller than the sum of its proper divisors (560830768).

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

272056400 is a wasteful number, since it uses less digits than its factorization.

272056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 272056400 is about 16494.1322899994. The cubic root of 272056400 is about 647.9671400296.

The spelling of 272056400 in words is "two hundred seventy-two million, fifty-six thousand, four hundred".