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72224424 = 23321039739
BaseRepresentation
bin1000100111000…
…00111010101000
312000220101021200
410103200322220
5121442140144
611100004200
71534616556
oct423407250
9160811250
1072224424
1137850308
1220230660
1311c6a15c
149840bd6
156519c69
hex44e0ea8

72224424 has 48 divisors (see below), whose sum is σ = 197527200. Its totient is φ = 23838624.

The previous prime is 72224419. The next prime is 72224441. The reversal of 72224424 is 42442227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2547 + ... + 12285.

It is an arithmetic number, because the mean of its divisors is an integer number (4115150).

Almost surely, 272224424 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 72224424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98763600).

72224424 is an abundant number, since it is smaller than the sum of its proper divisors (125302776).

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

72224424 is a wasteful number, since it uses less digits than its factorization.

72224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9847 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 72224424 is about 8498.4953962451. The cubic root of 72224424 is about 416.4485577061.

The spelling of 72224424 in words is "seventy-two million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 7416 9739 19478 29217 38956 58434 77912 87651 116868 175302 233736 350604 701208 1003117 2006234 3009351 4012468 6018702 8024936 9028053 12037404 18056106 24074808 36112212 72224424