272457900625 has 15 divisors (see below), whose sum is σ = 340479699901. Its totient is φ = 217955881000.

The previous prime is 272457900619. The next prime is 272457900641. The reversal of 272457900625 is 526009754272.

It is a happy number.

The square root of 272457900625 is 521975.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 21360699409 + 251097201216 = 146153^2 + 501096^2 .

It is not a de Polignac number, because 272457900625 - 2⁷ = 272457900497 is a prime.

It is a super-2 number, since 2×272457900625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13038936 + ... + 13059814.

Almost surely, 2^272457900625 is an apocalyptic number.

272457900625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

272457900625 is the 521975-th square number.

272457900625 is the 260988-th centered octagonal number.

It is an amenable number.

272457900625 is a deficient number, since it is larger than the sum of its proper divisors (68021799276).

272457900625 is an frugal number, since it uses more digits than its factorization.

272457900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41778 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 272457900625 by its sum of digits (49), we get a square (13350437130625 = 3653825²).

The spelling of 272457900625 in words is "two hundred seventy-two billion, four hundred fifty-seven million, nine hundred thousand, six hundred twenty-five".