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72039 = 3113759
BaseRepresentation
bin10001100101100111
310122211010
4101211213
54301124
61313303
7420012
oct214547
9118733
1072039
114a140
1235833
1326a36
141c379
1516529
hex11967

72039 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 41760.

The previous prime is 72031. The next prime is 72043. The reversal of 72039 is 93027.

72039 = T122 + T123 + ... + T130.

It is not a de Polignac number, because 72039 - 23 = 72031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

272039 is an apocalyptic number.

72039 is a deficient number, since it is larger than the sum of its proper divisors (37401).

72039 is a wasteful number, since it uses less digits than its factorization.

72039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 72039 is about 268.4008196709. The cubic root of 72039 is about 41.6091865190.

The spelling of 72039 in words is "seventy-two thousand, thirty-nine".

Divisors: 1 3 11 33 37 59 111 177 407 649 1221 1947 2183 6549 24013 72039