Search a number
-
+
72260 = 2253613
BaseRepresentation
bin10001101001000100
310200010022
4101221010
54303020
61314312
7420446
oct215104
9120108
1072260
114a321
1235998
1326b76
141c496
1516625
hex11a44

72260 has 12 divisors (see below), whose sum is σ = 151788. Its totient is φ = 28896.

The previous prime is 72253. The next prime is 72269. The reversal of 72260 is 6227.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 64516 = 88^2 + 254^2 .

It is not an unprimeable number, because it can be changed into a prime (72269) by changing a digit.

72260 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 3 ways as a sum of consecutive naturals, for example, 1787 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (12649).

272260 is an apocalyptic number.

It is an amenable number.

72260 is an abundant number, since it is smaller than the sum of its proper divisors (79528).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75894).

72260 is a wasteful number, since it uses less digits than its factorization.

72260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 72260 is about 268.8122021040. The cubic root of 72260 is about 41.6516923969.

Adding to 72260 its reverse (6227), we get a palindrome (78487).

The spelling of 72260 in words is "seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 3613 7226 14452 18065 36130 72260