272751840 has 192 divisors, whose sum is σ = 1005177600. Its totient is φ = 68884992.

The previous prime is 272751839. The next prime is 272751847. The reversal of 272751840 is 48157272.

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

It is a junction number, because it is equal to n+sod(n) for n = 272751795 and 272751804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272751847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80419 + ... + 83741.

It is an arithmetic number, because the mean of its divisors is an integer number (5235300).

Almost surely, 2^272751840 is an apocalyptic number.

272751840 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 272751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502588800).

272751840 is an abundant number, since it is smaller than the sum of its proper divisors (732425760).

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

272751840 is a wasteful number, since it uses less digits than its factorization.

272751840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 272751840 is about 16515.2002712653. The cubic root of 272751840 is about 648.5187889362.

The spelling of 272751840 in words is "two hundred seventy-two million, seven hundred fifty-one thousand, eight hundred forty".