272311767225 has 81 divisors (see below), whose sum is σ = 515043564399. Its totient is φ = 137513959200.

The previous prime is 272311767193. The next prime is 272311767227. The reversal of 272311767225 is 522767113272.

The square root of 272311767225 is 521835.

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

272311767225 is a `hidden beast` number, since 27 + 231 + 176 + 7 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98032236201 + 174279531024 = 313101^2 + 417468^2 .

It is not a de Polignac number, because 272311767225 - 2⁵ = 272311767193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (272311767227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148722060 + ... + 148723890.

Almost surely, 2^272311767225 is an apocalyptic number.

272311767225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

272311767225 is the 521835-th square number.

272311767225 is the 260918-th centered octagonal number.

It is an amenable number.

272311767225 is a deficient number, since it is larger than the sum of its proper divisors (242731797174).

272311767225 is an equidigital number, since it uses as much as digits as its factorization.

272311767225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 1858 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 272311767225 in words is "two hundred seventy-two billion, three hundred eleven million, seven hundred sixty-seven thousand, two hundred twenty-five".