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72341253 = 3237217241
BaseRepresentation
bin1000100111111…
…01011100000101
312001010022112200
410103331130011
5122004410003
611102305113
71535614305
oct423753405
9161108480
1072341253
1137920066
1220288199
1311cab39a
149871605
15653e6a3
hex44fd705

72341253 has 12 divisors (see below), whose sum is σ = 107317548. Its totient is φ = 46923840.

The previous prime is 72341249. The next prime is 72341263. The reversal of 72341253 is 35214327.

72341253 is a `hidden beast` number, since 72 + 341 + 253 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48692484 + 23648769 = 6978^2 + 4863^2 .

It is not a de Polignac number, because 72341253 - 22 = 72341249 is a prime.

It is a super-2 number, since 2×723412532 = 10466513771220018, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72341263) 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, 108288 + ... + 108953.

It is an arithmetic number, because the mean of its divisors is an integer number (8943129).

Almost surely, 272341253 is an apocalyptic number.

It is an amenable number.

72341253 is a deficient number, since it is larger than the sum of its proper divisors (34976295).

72341253 is a wasteful number, since it uses less digits than its factorization.

72341253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217284 (or 217281 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 72341253 is about 8505.3661296854. The cubic root of 72341253 is about 416.6729834420.

The spelling of 72341253 in words is "seventy-two million, three hundred forty-one thousand, two hundred fifty-three".

Divisors: 1 3 9 37 111 333 217241 651723 1955169 8037917 24113751 72341253