272788840 has 64 divisors (see below), whose sum is σ = 637632000. Its totient is φ = 104920320.

The previous prime is 272788837. The next prime is 272788853. The reversal of 272788840 is 48887272.

It is a super-3 number, since 3×272788840³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 221346 + ... + 222574.

It is an arithmetic number, because the mean of its divisors is an integer number (9963000).

Almost surely, 2^272788840 is an apocalyptic number.

272788840 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 272788840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318816000).

272788840 is an abundant number, since it is smaller than the sum of its proper divisors (364843160).

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

272788840 is a wasteful number, since it uses less digits than its factorization.

272788840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 46.

The square root of 272788840 is about 16516.3204134577. The cubic root of 272788840 is about 648.5481124295.

The spelling of 272788840 in words is "two hundred seventy-two million, seven hundred eighty-eight thousand, eight hundred forty".