272258542656 has 105 divisors (see below), whose sum is σ = 807170991319. Its totient is φ = 90740324736.

The previous prime is 272258542651. The next prime is 272258542687. The reversal of 272258542656 is 656245852272.

The square root of 272258542656 is 521784.

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

272258542656 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 585 + 4 + 2 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272258542651) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 37564825 + ... + 37572071.

Almost surely, 2^272258542656 is an apocalyptic number.

272258542656 is the 521784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272258542656

272258542656 is an abundant number, since it is smaller than the sum of its proper divisors (534912448663).

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

272258542656 is an frugal number, since it uses more digits than its factorization.

272258542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14518 (or 7252 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

It can be divided in two parts, 27225854 and 2656, that added together give a triangular number (27228510 = T₇₃₇₉).

The spelling of 272258542656 in words is "two hundred seventy-two billion, two hundred fifty-eight million, five hundred forty-two thousand, six hundred fifty-six".