Search a number
-
+
72380 = 22571147
BaseRepresentation
bin10001101010111100
310200021202
4101222330
54304010
61315032
7421010
oct215274
9120252
1072380
114a420
1235a78
1326c39
141c540
15166a5
hex11abc

72380 has 48 divisors (see below), whose sum is σ = 193536. Its totient is φ = 22080.

The previous prime is 72379. The next prime is 72383. The reversal of 72380 is 8327.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

272380 is an apocalyptic number.

72380 is a gapful number since it is divisible by the number (70) 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 72380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768).

72380 is an abundant number, since it is smaller than the sum of its proper divisors (121156).

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

72380 is a wasteful number, since it uses less digits than its factorization.

72380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72380 is about 269.0353136672. The cubic root of 72380 is about 41.6747362149.

The spelling of 72380 in words is "seventy-two thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3619 5170 6580 7238 10340 14476 18095 36190 72380