272670400 has 84 divisors (see below), whose sum is σ = 675179752. Its totient is φ = 108380160.

The previous prime is 272670379. The next prime is 272670401. The reversal of 272670400 is 4076272.

It is not an unprimeable number, because it can be changed into a prime (272670401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308359 + ... + 309241.

Almost surely, 2^272670400 is an apocalyptic number.

272670400 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 272670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337589876).

272670400 is an abundant number, since it is smaller than the sum of its proper divisors (402509352).

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

272670400 is a wasteful number, since it uses less digits than its factorization.

272670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 272670400 is about 16512.7344797886. The cubic root of 272670400 is about 648.4542362062.

The spelling of 272670400 in words is "two hundred seventy-two million, six hundred seventy thousand, four hundred".