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72240 = 2435743
BaseRepresentation
bin10001101000110000
310200002120
4101220300
54302430
61314240
7420420
oct215060
9120076
1072240
114a303
1235980
1326b5c
141c480
1516610
hex11a30

72240 has 80 divisors (see below), whose sum is σ = 261888. Its totient is φ = 16128.

The previous prime is 72229. The next prime is 72251. The reversal of 72240 is 4227.

Adding to 72240 its reverse (4227), we get a palindrome (76467).

It is an interprime number because it is at equal distance from previous prime (72229) and next prime (72251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1659 + ... + 1701.

272240 is an apocalyptic number.

72240 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 72240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944).

72240 is an abundant number, since it is smaller than the sum of its proper divisors (189648).

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

72240 is a wasteful number, since it uses less digits than its factorization.

72240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72240 is about 268.7749988373. The cubic root of 72240 is about 41.6478492808.

The spelling of 72240 in words is "seventy-two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 168 172 210 215 240 258 280 301 336 344 420 430 516 560 602 645 688 840 860 903 1032 1204 1290 1505 1680 1720 1806 2064 2408 2580 3010 3440 3612 4515 4816 5160 6020 7224 9030 10320 12040 14448 18060 24080 36120 72240