272646144 has 135 divisors (see below), whose sum is σ = 806363103. Its totient is φ = 88768512.

The previous prime is 272646109. The next prime is 272646161. The reversal of 272646144 is 441646272.

The square root of 272646144 is 16512.

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

272646144 is a `hidden beast` number, since 2 + 7 + 2 + 646 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (64512) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 272646099 and 272646108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6340587 + ... + 6340629.

Almost surely, 2^272646144 is an apocalyptic number.

272646144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

272646144 is the 16512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272646144

272646144 is an abundant number, since it is smaller than the sum of its proper divisors (533716959).

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

272646144 is an frugal number, since it uses more digits than its factorization.

272646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 48 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The cubic root of 272646144 is about 648.4350074078.

Multiplying 272646144 by its sum of digits (36), we get a square (9815261184 = 99072²).

272646144 divided by its sum of digits (36) gives a square (7573504 = 2752²).

It can be divided in two parts, 272 and 646144, that added together give a square (646416 = 804²).

The spelling of 272646144 in words is "two hundred seventy-two million, six hundred forty-six thousand, one hundred forty-four".