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72212040 = 2333566863
BaseRepresentation
bin1000100110111…
…01111001001000
312000212202022000
410103131321020
5121441241130
611055431000
71534535505
oct423357110
9160782260
1072212040
1137841a7a
1220225460
1311c64624
14983a4ac
156516260
hex44dde48

72212040 has 64 divisors (see below), whose sum is σ = 240710400. Its totient is φ = 19256256.

The previous prime is 72212011. The next prime is 72212087. The reversal of 72212040 is 4021227.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 32352 + ... + 34511.

It is an arithmetic number, because the mean of its divisors is an integer number (3761100).

Almost surely, 272212040 is an apocalyptic number.

It is an amenable number.

72212040 is an abundant number, since it is smaller than the sum of its proper divisors (168498360).

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

72212040 is a wasteful number, since it uses less digits than its factorization.

72212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66883 (or 66873 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72212040 is about 8497.7667654508. The cubic root of 72212040 is about 416.4247541530.

Adding to 72212040 its reverse (4021227), we get a palindrome (76233267).

It can be divided in two parts, 7221 and 2040, that added together give a cube (9261 = 213).

The spelling of 72212040 in words is "seventy-two million, two hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 66863 133726 200589 267452 334315 401178 534904 601767 668630 802356 1002945 1203534 1337260 1604712 1805301 2005890 2407068 2674520 3008835 3610602 4011780 4814136 6017670 7221204 8023560 9026505 12035340 14442408 18053010 24070680 36106020 72212040