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72675216 = 24322321943
BaseRepresentation
bin1000101010011…
…10111110010000
312001202021122200
410111032332100
5122101101331
611113403200
71541505045
oct425167620
9161667580
1072675216
1138028a69
1220409500
13120973b3
14991b1cc
1565a85e6
hex454ef90

72675216 has 60 divisors (see below), whose sum is σ = 212242368. Its totient is φ = 23170752.

The previous prime is 72675199. The next prime is 72675233. The reversal of 72675216 is 61257627.

72675216 is a `hidden beast` number, since 72 + 67 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (72675199) and next prime (72675233).

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

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 11 ways as a sum of consecutive naturals, for example, 7660 + ... + 14283.

Almost surely, 272675216 is an apocalyptic number.

It is an amenable number.

72675216 is an abundant number, since it is smaller than the sum of its proper divisors (139567152).

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

72675216 is a wasteful number, since it uses less digits than its factorization.

72675216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21980 (or 21971 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 72675216 is about 8524.9760116965. The cubic root of 72675216 is about 417.3131888008.

The spelling of 72675216 in words is "seventy-two million, six hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 21943 43886 65829 87772 131658 175544 197487 263316 351088 394974 504689 526632 789948 1009378 1053264 1514067 1579896 2018756 3028134 3159792 4037512 4542201 6056268 8075024 9084402 12112536 18168804 24225072 36337608 72675216