272272400 has 30 divisors (see below), whose sum is σ = 654135402. Its totient is φ = 108908800.

The previous prime is 272272393. The next prime is 272272409. The reversal of 272272400 is 4272272.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 70291456 + 201980944 = 8384^2 + 14212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 272272400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272272409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 339941 + ... + 340740.

Almost surely, 2^272272400 is an apocalyptic number.

272272400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272272400 is an abundant number, since it is smaller than the sum of its proper divisors (381863002).

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

272272400 is a wasteful number, since it uses less digits than its factorization.

272272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680699 (or 680688 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 272272400 is about 16500.6787739172. The cubic root of 272272400 is about 648.1385798215.

The spelling of 272272400 in words is "two hundred seventy-two million, two hundred seventy-two thousand, four hundred".