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72675 = 32521719
BaseRepresentation
bin10001101111100011
310200200200
4101233203
54311200
61320243
7421611
oct215743
9120620
1072675
114a669
1236083
1327105
141c6b1
1516800
hex11be3

72675 has 36 divisors (see below), whose sum is σ = 145080. Its totient is φ = 34560.

The previous prime is 72673. The next prime is 72679. The reversal of 72675 is 57627.

It is not a de Polignac number, because 72675 - 21 = 72673 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3816 + ... + 3834.

It is an arithmetic number, because the mean of its divisors is an integer number (4030).

272675 is an apocalyptic number.

72675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72675 is a deficient number, since it is larger than the sum of its proper divisors (72405).

72675 is a wasteful number, since it uses less digits than its factorization.

72675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 72675 is about 269.5830113342. The cubic root of 72675 is about 41.7312775364.

It can be divided in two parts, 72 and 675, that added together give a palindrome (747).

The spelling of 72675 in words is "seventy-two thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 17 19 25 45 51 57 75 85 95 153 171 225 255 285 323 425 475 765 855 969 1275 1425 1615 2907 3825 4275 4845 8075 14535 24225 72675