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272719872 = 21335137
BaseRepresentation
bin10000010000010…
…110000000000000
3201000011121100000
4100100112000000
51024304013442
643021200000
76521036445
oct2020260000
9630147300
10272719872
1112aa41527
1277400000
1344668b09
14283119cc
1518e20d4c
hex10416000

272719872 has 168 divisors, whose sum is σ = 822950856. Its totient is φ = 90243072.

The previous prime is 272719849. The next prime is 272719873. The reversal of 272719872 is 278917272.

It is a super-2 number, since 2×2727198722 = 148752257167392768, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272719873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990588 + ... + 1990724.

It is an arithmetic number, because the mean of its divisors is an integer number (4898517).

Almost surely, 2272719872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411475428).

272719872 is an abundant number, since it is smaller than the sum of its proper divisors (550230984).

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

272719872 is an frugal number, since it uses more digits than its factorization.

272719872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 142 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 272719872 is about 16514.2324072298. The cubic root of 272719872 is about 648.4934513025.

The spelling of 272719872 in words is "two hundred seventy-two million, seven hundred nineteen thousand, eight hundred seventy-two".