272272000 has 512 divisors, whose sum is σ = 962357760. Its totient is φ = 73728000.

The previous prime is 272271991. The next prime is 272272009. The reversal of 272272000 is 272272.

It is an interprime number because it is at equal distance from previous prime (272271991) and next prime (272272009).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (272272009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16015992 + ... + 16016008.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^272272000 is an apocalyptic number.

272272000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

272272000 is an abundant number, since it is smaller than the sum of its proper divisors (690085760).

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

272272000 is a wasteful number, since it uses less digits than its factorization.

272272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 272272000 is about 16500.6666531992. Note that the first 4 decimals coincide. The cubic root of 272272000 is about 648.1382624242.

272272000 divided by its reverse (272272) gives a cube (1000 = 10³).

It can be divided in two parts, 272 and 272000, that added together give a palindrome (272272).

The spelling of 272272000 in words is "two hundred seventy-two million, two hundred seventy-two thousand".