272720400 has 60 divisors (see below), whose sum is σ = 873618192. Its totient is φ = 72725120.

The previous prime is 272720389. The next prime is 272720401. The reversal of 272720400 is 4027272.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (272720401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112434 + ... + 114833.

Almost surely, 2^272720400 is an apocalyptic number.

272720400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272720400 is an abundant number, since it is smaller than the sum of its proper divisors (600897792).

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

272720400 is a wasteful number, since it uses less digits than its factorization.

272720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227288 (or 227277 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 272720400 is about 16514.2483934329. The cubic root of 272720400 is about 648.4938698080.

Adding to 272720400 its reverse (4027272), we get a palindrome (276747672).

The spelling of 272720400 in words is "two hundred seventy-two million, seven hundred twenty thousand, four hundred".