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72687420 = 223251331063
BaseRepresentation
bin1000101010100…
…01111100111100
312001202220101200
410111101330330
5122101444140
611113535500
71541555451
oct425217474
9161686350
1072687420
1138037153
1220414590
131209cb10
149921828
1565ac030
hex4551f3c

72687420 has 72 divisors (see below), whose sum is σ = 237453216. Its totient is φ = 17891712.

The previous prime is 72687403. The next prime is 72687431. The reversal of 72687420 is 2478627.

It is a super-2 number, since 2×726874202 = 10566922052512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13192 + ... + 17871.

Almost surely, 272687420 is an apocalyptic number.

It is an amenable number.

72687420 is an abundant number, since it is smaller than the sum of its proper divisors (164765796).

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

72687420 is a wasteful number, since it uses less digits than its factorization.

72687420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31091 (or 31086 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72687420 is about 8525.6917607899. The cubic root of 72687420 is about 417.3365466266.

The spelling of 72687420 in words is "seventy-two million, six hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 31063 62126 93189 124252 155315 186378 279567 310630 372756 403819 465945 559134 621260 807638 931890 1118268 1211457 1397835 1615276 1863780 2019095 2422914 2795670 3634371 4038190 4845828 5591340 6057285 7268742 8076380 12114570 14537484 18171855 24229140 36343710 72687420