272348400 has 120 divisors (see below), whose sum is σ = 884658160. Its totient is φ = 71608320.

The previous prime is 272348393. The next prime is 272348431. The reversal of 272348400 is 4843272.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86046 + ... + 89154.

Almost surely, 2^272348400 is an apocalyptic number.

272348400 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 272348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442329080).

272348400 is an abundant number, since it is smaller than the sum of its proper divisors (612309760).

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

272348400 is a wasteful number, since it uses less digits than its factorization.

272348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 272348400 is about 16502.9815487990. The cubic root of 272348400 is about 648.1988796652.

The spelling of 272348400 in words is "two hundred seventy-two million, three hundred forty-eight thousand, four hundred".