Search a number
-
+
72214384 = 2411715779
BaseRepresentation
bin1000100110111…
…10011101110000
312000212212111211
410103132131300
5121441330014
611055445504
71534545364
oct423363560
9160785454
1072214384
1137843810
1220226894
1311c65708
14983b2a4
156516cc4
hex44de770

72214384 has 40 divisors (see below), whose sum is σ = 154811520. Its totient is φ = 32356800.

The previous prime is 72214369. The next prime is 72214403. The reversal of 72214384 is 48341227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9607 + ... + 15385.

It is an arithmetic number, because the mean of its divisors is an integer number (3870288).

Almost surely, 272214384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72214384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77405760).

72214384 is an abundant number, since it is smaller than the sum of its proper divisors (82597136).

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

72214384 is a wasteful number, since it uses less digits than its factorization.

72214384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5863 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 72214384 is about 8497.9046829204. The cubic root of 72214384 is about 416.4292598146.

It can be divided in two parts, 722143 and 84, that added together give a palindrome (722227).

The spelling of 72214384 in words is "seventy-two million, two hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 5779 6248 11558 12496 23116 46232 63569 92464 127138 254276 410309 508552 820618 1017104 1641236 3282472 4513399 6564944 9026798 18053596 36107192 72214384