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272160 = 253557
BaseRepresentation
bin1000010011100100000
3111211100000
41002130200
532202120
65500000
72212320
oct1023440
9454300
10272160
11176529
12111600
1396b55
1471280
1555990
hex42720

272160 has 144 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 62208.

The previous prime is 272141. The next prime is 272171. The reversal of 272160 is 61272.

It can be divided in two parts, 27 and 2160, that added together give a 7-th power (2187 = 37).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

272160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38877 + ... + 38883.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2272160 is an apocalyptic number.

272160 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 272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

272160 is an abundant number, since it is smaller than the sum of its proper divisors (828576).

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

272160 is an equidigital number, since it uses as much as digits as its factorization.

272160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 272160 is about 521.6895628628. The cubic root of 272160 is about 64.8049378953.

The spelling of 272160 in words is "two hundred seventy-two thousand, one hundred sixty".