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72011131 = 6710131061
BaseRepresentation
bin1000100101011…
…00110101111011
312000111112200221
410102230311323
5121413324011
611051240511
71533040663
oct422546573
9160445627
1072011131
1137715035
1220149137
1311bc404a
1497c71a3
1564c6971
hex44acd7b

72011131 has 8 divisors (see below), whose sum is σ = 73227024. Its totient is φ = 70799520.

The previous prime is 72011119. The next prime is 72011141. The reversal of 72011131 is 13111027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72011131 - 29 = 72010619 is a prime.

It is a super-2 number, since 2×720111312 = 10371205975798322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72011101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67341 + ... + 68401.

It is an arithmetic number, because the mean of its divisors is an integer number (9153378).

Almost surely, 272011131 is an apocalyptic number.

72011131 is a deficient number, since it is larger than the sum of its proper divisors (1215893).

72011131 is a wasteful number, since it uses less digits than its factorization.

72011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 72011131 is about 8485.9372493555. The cubic root of 72011131 is about 416.0382018511.

Adding to 72011131 its reverse (13111027), we get a palindrome (85122158).

The spelling of 72011131 in words is "seventy-two million, eleven thousand, one hundred thirty-one".

Divisors: 1 67 1013 1061 67871 71087 1074793 72011131