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72148236 = 2237382361
BaseRepresentation
bin1000100110011…
…10010100001100
312000202111202220
410103032110030
5121432220421
611054215340
71534151466
oct423162414
9160674686
1072148236
11377a9046
12201b4550
1311c41584
149821136
1565023c6
hex44ce50c

72148236 has 24 divisors (see below), whose sum is σ = 170654064. Its totient is φ = 23719680.

The previous prime is 72148199. The next prime is 72148273. The reversal of 72148236 is 63284127.

It is an interprime number because it is at equal distance from previous prime (72148199) and next prime (72148273).

It is a super-3 number, since 3×721482363 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72148197 and 72148206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40305 + ... + 42056.

It is an arithmetic number, because the mean of its divisors is an integer number (7110586).

Almost surely, 272148236 is an apocalyptic number.

It is an amenable number.

72148236 is an abundant number, since it is smaller than the sum of its proper divisors (98505828).

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

72148236 is a wasteful number, since it uses less digits than its factorization.

72148236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82441 (or 82439 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 72148236 is about 8494.0117730081. The cubic root of 72148236 is about 416.3020719605.

The spelling of 72148236 in words is "seventy-two million, one hundred forty-eight thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 73 146 219 292 438 876 82361 164722 247083 329444 494166 988332 6012353 12024706 18037059 24049412 36074118 72148236