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72468 = 22331161
BaseRepresentation
bin10001101100010100
310200102000
4101230110
54304333
61315300
7421164
oct215424
9120360
1072468
114a4a0
1235b30
1326ca6
141c5a4
1516713
hex11b14

72468 has 48 divisors (see below), whose sum is σ = 208320. Its totient is φ = 21600.

The previous prime is 72467. The next prime is 72469. The reversal of 72468 is 86427.

It is an interprime number because it is at equal distance from previous prime (72467) and next prime (72469).

It is a super-2 number, since 2×724682 = 10503222048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158 + ... + 1218.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

272468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

72468 is an abundant number, since it is smaller than the sum of its proper divisors (135852).

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

72468 is a wasteful number, since it uses less digits than its factorization.

72468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 72468 is about 269.1988112901. The cubic root of 72468 is about 41.6916188321.

The spelling of 72468 in words is "seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 36234 72468