272817040 has 40 divisors (see below), whose sum is σ = 641443320. Its totient is φ = 107897856.

The previous prime is 272817031. The next prime is 272817047. The reversal of 272817040 is 40718272.

It can be written as a sum of positive squares in 4 ways, for example, as 14379264 + 258437776 = 3792^2 + 16076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 272816993 and 272817011.

It is not an unprimeable number, because it can be changed into a prime (272817047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12039 + ... + 26278.

It is an arithmetic number, because the mean of its divisors is an integer number (16036083).

Almost surely, 2^272817040 is an apocalyptic number.

272817040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272817040 is an abundant number, since it is smaller than the sum of its proper divisors (368626280).

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

272817040 is a wasteful number, since it uses less digits than its factorization.

272817040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38419 (or 38413 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 272817040 is about 16517.1740924409. The cubic root of 272817040 is about 648.5704599060.

The spelling of 272817040 in words is "two hundred seventy-two million, eight hundred seventeen thousand, forty".