272430100 has 36 divisors (see below), whose sum is σ = 625952124. Its totient is φ = 102561280.

The previous prime is 272430097. The next prime is 272430121. The reversal of 272430100 is 1034272.

It can be written as a sum of positive squares in 6 ways, for example, as 22410756 + 250019344 = 4734^2 + 15812^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78427 + ... + 81826.

It is an arithmetic number, because the mean of its divisors is an integer number (17387559).

Almost surely, 2^272430100 is an apocalyptic number.

272430100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272430100 is an abundant number, since it is smaller than the sum of its proper divisors (353522024).

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

272430100 is a wasteful number, since it uses less digits than its factorization.

272430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160284 (or 160277 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 272430100 is about 16505.4566734762. The cubic root of 272430100 is about 648.2636894871.

Adding to 272430100 its reverse (1034272), we get a palindrome (273464372).

The spelling of 272430100 in words is "two hundred seventy-two million, four hundred thirty thousand, one hundred".