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72674420 = 22571373547
BaseRepresentation
bin1000101010011…
…10110001110100
312001202020120012
410111032301310
5122101040140
611113355352
71541502530
oct425166164
9161666505
1072674420
1138028405
1220408b58
1312096c20
14991abc0
1565a8265
hex454ec74

72674420 has 96 divisors (see below), whose sum is σ = 190756608. Its totient is φ = 22643712.

The previous prime is 72674419. The next prime is 72674453. The reversal of 72674420 is 2447627.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132587 + ... + 133133.

It is an arithmetic number, because the mean of its divisors is an integer number (1987048).

Almost surely, 272674420 is an apocalyptic number.

72674420 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 72674420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95378304).

72674420 is an abundant number, since it is smaller than the sum of its proper divisors (118082188).

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

72674420 is a wasteful number, since it uses less digits than its factorization.

72674420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 72674420 is about 8524.9293252202. The cubic root of 72674420 is about 417.3116652071.

The spelling of 72674420 in words is "seventy-two million, six hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 547 730 910 949 1022 1094 1460 1820 1898 2044 2188 2555 2735 3796 3829 4745 5110 5470 6643 7111 7658 9490 10220 10940 13286 14222 15316 18980 19145 26572 28444 33215 35555 38290 39931 49777 66430 71110 76580 79862 99554 132860 142220 159724 199108 199655 248885 279517 399310 497770 519103 559034 798620 995540 1038206 1118068 1397585 2076412 2595515 2795170 3633721 5191030 5590340 7267442 10382060 14534884 18168605 36337210 72674420