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72766690 = 256721621
BaseRepresentation
bin1000101011001…
…01010011100010
312001220221010121
410111211103202
5122112013230
611115350454
71542335533
oct425452342
9161827117
1072766690
1138090767
122045242a
13120c9c19
14994268a
1565c577a
hex45654e2

72766690 has 24 divisors (see below), whose sum is σ = 133046172. Its totient is φ = 28654560.

The previous prime is 72766651. The next prime is 72766697. The reversal of 72766690 is 9666727.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72403081 + 363609 = 8509^2 + 603^2 .

It is a super-2 number, since 2×727666902 = 10589982347112200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72766697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44080 + ... + 45700.

Almost surely, 272766690 is an apocalyptic number.

72766690 is a deficient number, since it is larger than the sum of its proper divisors (60279482).

72766690 is a wasteful number, since it uses less digits than its factorization.

72766690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 72766690 is about 8530.3393836353. The cubic root of 72766690 is about 417.4882017056.

The spelling of 72766690 in words is "seventy-two million, seven hundred sixty-six thousand, six hundred ninety".

Divisors: 1 2 5 10 67 134 335 670 1621 3242 4489 8105 8978 16210 22445 44890 108607 217214 543035 1086070 7276669 14553338 36383345 72766690