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72030 = 23574
BaseRepresentation
bin10001100101011110
310122210210
4101211132
54301110
61313250
7420000
oct214536
9118723
1072030
114a132
1235826
1326a2a
141c370
1516520
hex1195e

72030 has 40 divisors (see below), whose sum is σ = 201672. Its totient is φ = 16464.

The previous prime is 72019. The next prime is 72031. The reversal of 72030 is 3027.

Adding to 72030 its reverse (3027), we get a palindrome (75057).

It is a Curzon number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 71997 and 72015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72031) by changing a digit.

72030 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 19 ways as a sum of consecutive naturals, for example, 10287 + ... + 10293.

272030 is an apocalyptic number.

72030 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100836).

72030 is an abundant number, since it is smaller than the sum of its proper divisors (129642).

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

72030 is an equidigital number, since it uses as much as digits as its factorization.

72030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 72030 is about 268.3840531775. The cubic root of 72030 is about 41.6074536693.

The spelling of 72030 in words is "seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 2401 3430 4802 5145 7203 10290 12005 14406 24010 36015 72030