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72136711 = 1983149307
BaseRepresentation
bin1000100110010…
…11100000000111
312000201220222001
410103023200013
5121431333321
611054050131
71534103053
oct423134007
9160656861
1072136711
11377a0419
12201a9947
1311c3925a
14981ac63
1564edc91
hex44cb807

72136711 has 16 divisors (see below), whose sum is σ = 77616000. Its totient is φ = 66845088.

The previous prime is 72136703. The next prime is 72136723. The reversal of 72136711 is 11763127.

It is a cyclic number.

It is not a de Polignac number, because 72136711 - 23 = 72136703 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72136711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72136751) 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 15 ways as a sum of consecutive naturals, for example, 234820 + ... + 235126.

It is an arithmetic number, because the mean of its divisors is an integer number (4851000).

Almost surely, 272136711 is an apocalyptic number.

72136711 is a deficient number, since it is larger than the sum of its proper divisors (5479289).

72136711 is a wasteful number, since it uses less digits than its factorization.

72136711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558.

The product of its digits is 1764, while the sum is 28.

The square root of 72136711 is about 8493.3333267923. Note that the first 4 decimals coincide. The cubic root of 72136711 is about 416.2799040040.

Adding to 72136711 its reverse (11763127), we get a palindrome (83899838).

It can be divided in two parts, 7213 and 6711, that added together give a square (13924 = 1182).

The spelling of 72136711 in words is "seventy-two million, one hundred thirty-six thousand, seven hundred eleven".

Divisors: 1 19 83 149 307 1577 2831 5833 12367 25481 45743 234973 484139 869117 3796669 72136711