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72693 = 3241197
BaseRepresentation
bin10001101111110101
310200201100
4101233311
54311233
61320313
7421635
oct215765
9120640
1072693
114a685
1236099
132711a
141c6c5
1516813
hex11bf5

72693 has 12 divisors (see below), whose sum is σ = 108108. Its totient is φ = 47040.

The previous prime is 72689. The next prime is 72701. The reversal of 72693 is 39627.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 33489 = 198^2 + 183^2 .

It is not a de Polignac number, because 72693 - 22 = 72689 is a prime.

72693 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613) 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 11 ways as a sum of consecutive naturals, for example, 271 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

272693 is an apocalyptic number.

It is an amenable number.

72693 is a deficient number, since it is larger than the sum of its proper divisors (35415).

72693 is a wasteful number, since it uses less digits than its factorization.

72693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 72693 is about 269.6163941603. The cubic root of 72693 is about 41.7347225588.

The spelling of 72693 in words is "seventy-two thousand, six hundred ninety-three".

Divisors: 1 3 9 41 123 197 369 591 1773 8077 24231 72693