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72460269 = 3272164309
BaseRepresentation
bin1000101000110…
…10011111101101
312001100100210200
410110122133231
5122022212034
611105024113
71536621300
oct424323755
9161310720
1072460269
11379a1522
1220325039
13120205cb
1498a2b37
156564a99
hex451a7ed

72460269 has 18 divisors (see below), whose sum is σ = 121753710. Its totient is φ = 41405616.

The previous prime is 72460249. The next prime is 72460277. The reversal of 72460269 is 96206427.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 38378025 + 34082244 = 6195^2 + 5838^2 .

It is not a de Polignac number, because 72460269 - 28 = 72460013 is a prime.

It is a super-2 number, since 2×724602692 = 10500981167104722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72460249) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81714 + ... + 82595.

It is an arithmetic number, because the mean of its divisors is an integer number (6764095).

Almost surely, 272460269 is an apocalyptic number.

It is an amenable number.

72460269 is a deficient number, since it is larger than the sum of its proper divisors (49293441).

72460269 is a wasteful number, since it uses less digits than its factorization.

72460269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164329 (or 164319 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 72460269 is about 8512.3597785808. The cubic root of 72460269 is about 416.9013620364.

The spelling of 72460269 in words is "seventy-two million, four hundred sixty thousand, two hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 164309 492927 1150163 1478781 3450489 8051141 10351467 24153423 72460269