272832840 has 256 divisors, whose sum is σ = 1050624000. Its totient is φ = 61689600.

The previous prime is 272832811. The next prime is 272832863. The reversal of 272832840 is 48238272.

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 = 272832795 and 272832804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1141441 + ... + 1141679.

It is an arithmetic number, because the mean of its divisors is an integer number (4104000).

Almost surely, 2^272832840 is an apocalyptic number.

272832840 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 272832840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525312000).

272832840 is an abundant number, since it is smaller than the sum of its proper divisors (777791160).

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

272832840 is a wasteful number, since it uses less digits than its factorization.

272832840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 272832840 is about 16517.6523755648. The cubic root of 272832840 is about 648.5829801594.

The spelling of 272832840 in words is "two hundred seventy-two million, eight hundred thirty-two thousand, eight hundred forty".