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72264276 = 22327286763
BaseRepresentation
bin1000100111010…
…10101001010100
312000222101221200
410103222221110
5121444424101
611100512500
71535144010
oct423525124
9160871850
1072264276
1137878247
122024b730
1311c82336
149851540
156526986
hex44eaa54

72264276 has 36 divisors (see below), whose sum is σ = 208764192. Its totient is φ = 20646864.

The previous prime is 72264253. The next prime is 72264287. The reversal of 72264276 is 67246227.

72264276 is a `hidden beast` number, since 7 + 2 + 2 + 642 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 72264276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143130 + ... + 143633.

Almost surely, 272264276 is an apocalyptic number.

It is an amenable number.

72264276 is an abundant number, since it is smaller than the sum of its proper divisors (136499916).

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

72264276 is a wasteful number, since it uses less digits than its factorization.

72264276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286780 (or 286775 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 72264276 is about 8500.8397232273. The cubic root of 72264276 is about 416.5251396315.

The spelling of 72264276 in words is "seventy-two million, two hundred sixty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 286763 573526 860289 1147052 1720578 2007341 2580867 3441156 4014682 5161734 6022023 8029364 10323468 12044046 18066069 24088092 36132138 72264276