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72427433 = 1322924329
BaseRepresentation
bin1000101000100…
…10011110101001
312001021200202112
410110102132221
5122020134213
611104212105
71536423461
oct424223651
9161250675
1072427433
1137979891
122030a035
131200b690
149894ba1
156559ea8
hex45127a9

72427433 has 8 divisors (see below), whose sum is σ = 78342600. Its totient is φ = 66561408.

The previous prime is 72427427. The next prime is 72427447. The reversal of 72427433 is 33472427.

It can be written as a sum of positive squares in 4 ways, for example, as 24720784 + 47706649 = 4972^2 + 6907^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72427433 - 28 = 72427177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72427433.

It is not an unprimeable number, because it can be changed into a prime (72427493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9188 + ... + 15141.

It is an arithmetic number, because the mean of its divisors is an integer number (9792825).

Almost surely, 272427433 is an apocalyptic number.

It is an amenable number.

72427433 is a deficient number, since it is larger than the sum of its proper divisors (5915167).

72427433 is a wasteful number, since it uses less digits than its factorization.

72427433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24571.

The product of its digits is 28224, while the sum is 32.

The square root of 72427433 is about 8510.4308351575. The cubic root of 72427433 is about 416.8383783643.

The spelling of 72427433 in words is "seventy-two million, four hundred twenty-seven thousand, four hundred thirty-three".

Divisors: 1 13 229 2977 24329 316277 5571341 72427433