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72614790 = 23251276353
BaseRepresentation
bin1000101010000…
…00001110000110
312001122012202200
410111000032012
5122042133130
611112215330
71541133633
oct425001606
9161565680
1072614790
1137a97626
122039a546
1312075a41
14990318a
156595760
hex4540386

72614790 has 48 divisors (see below), whose sum is σ = 190315008. Its totient is φ = 19208448.

The previous prime is 72614783. The next prime is 72614809. The reversal of 72614790 is 9741627.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8254 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (3964896).

Almost surely, 272614790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72614790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95157504).

72614790 is an abundant number, since it is smaller than the sum of its proper divisors (117700218).

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

72614790 is a wasteful number, since it uses less digits than its factorization.

72614790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72614790 is about 8521.4312178178. The cubic root of 72614790 is about 417.1974980140.

The spelling of 72614790 in words is "seventy-two million, six hundred fourteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1905 2286 3810 5715 6353 11430 12706 19059 31765 38118 57177 63530 95295 114354 190590 285885 571770 806831 1613662 2420493 4034155 4840986 7261479 8068310 12102465 14522958 24204930 36307395 72614790