272061984 has 48 divisors (see below), whose sum is σ = 717286752. Its totient is φ = 90290688.

The previous prime is 272061971. The next prime is 272062001. The reversal of 272061984 is 489160272.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 16287 + ... + 28449.

It is an arithmetic number, because the mean of its divisors is an integer number (14943474).

Almost surely, 2^272061984 is an apocalyptic number.

272061984 is a gapful number since it is divisible by the number (24) 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 272061984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358643376).

272061984 is an abundant number, since it is smaller than the sum of its proper divisors (445224768).

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

272061984 is a wasteful number, since it uses less digits than its factorization.

272061984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12409 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 272061984 is about 16494.3015614484. The cubic root of 272061984 is about 647.9715732081.

The spelling of 272061984 in words is "two hundred seventy-two million, sixty-one thousand, nine hundred eighty-four".