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72664362 = 2324036909
BaseRepresentation
bin1000101010011…
…00010100101010
312001201201202200
410111030110222
5122100224422
611113241030
71541431311
oct425142452
9161651680
1072664362
11380208a1
1220403176
1312092484
149917278
1565a52ac
hex454c52a

72664362 has 12 divisors (see below), whose sum is σ = 157439490. Its totient is φ = 24221448.

The previous prime is 72664357. The next prime is 72664369. The reversal of 72664362 is 26346627.

It is a happy number.

72664362 is a `hidden beast` number, since 7 + 2 + 6 + 643 + 6 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60699681 + 11964681 = 7791^2 + 3459^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72664369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2018437 + ... + 2018472.

Almost surely, 272664362 is an apocalyptic number.

72664362 is an abundant number, since it is smaller than the sum of its proper divisors (84775128).

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

72664362 is a wasteful number, since it uses less digits than its factorization.

72664362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036917 (or 4036914 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 72664362 is about 8524.3393878939. The cubic root of 72664362 is about 417.2924126082.

It can be divided in two parts, 7266 and 4362, that added together give a triangular number (11628 = T152).

The spelling of 72664362 in words is "seventy-two million, six hundred sixty-four thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 4036909 8073818 12110727 24221454 36332181 72664362