272319840 has 288 divisors, whose sum is σ = 1034843040. Its totient is φ = 66852864.

The previous prime is 272319811. The next prime is 272319851. The reversal of 272319840 is 48913272.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 272319795 and 272319804.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 729894 + ... + 730266.

It is an arithmetic number, because the mean of its divisors is an integer number (3593205).

Almost surely, 2^272319840 is an apocalyptic number.

272319840 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 272319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517421520).

272319840 is an abundant number, since it is smaller than the sum of its proper divisors (762523200).

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

272319840 is a wasteful number, since it uses less digits than its factorization.

272319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 272319840 is about 16502.1162279266. The cubic root of 272319840 is about 648.1762209346.

The spelling of 272319840 in words is "two hundred seventy-two million, three hundred nineteen thousand, eight hundred forty".