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72201472 = 28743937
BaseRepresentation
bin1000100110110…
…11010100000000
312000212012210121
410103123110000
5121440421342
611055310024
71534462630
oct423332400
9160765717
1072201472
1137835042
122021b314
1311c5c885
1498366c0
156513067
hex44db500

72201472 has 72 divisors (see below), whose sum is σ = 168719936. Its totient is φ = 30191616.

The previous prime is 72201461. The next prime is 72201473. The reversal of 72201472 is 27410227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72201473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76588 + ... + 77524.

Almost surely, 272201472 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 72201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84359968).

72201472 is an abundant number, since it is smaller than the sum of its proper divisors (96518464).

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

72201472 is an equidigital number, since it uses as much as digits as its factorization.

72201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 72201472 is about 8497.1449322699. The cubic root of 72201472 is about 416.4044390204.

Adding to 72201472 its reverse (27410227), we get a palindrome (99611699).

The spelling of 72201472 in words is "seventy-two million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 602 688 896 937 1204 1376 1792 1874 2408 2752 3748 4816 5504 6559 7496 9632 11008 13118 14992 19264 26236 29984 38528 40291 52472 59968 77056 80582 104944 119936 161164 209888 239872 282037 322328 419776 564074 644656 839552 1128148 1289312 1679104 2256296 2578624 4512592 5157248 9025184 10314496 18050368 36100736 72201472