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72660 = 22357173
BaseRepresentation
bin10001101111010100
310200200010
4101233110
54311120
61320220
7421560
oct215724
9120603
1072660
114a655
1236070
13270c3
141c6a0
15167e0
hex11bd4

72660 has 48 divisors (see below), whose sum is σ = 233856. Its totient is φ = 16512.

The previous prime is 72649. The next prime is 72661. The reversal of 72660 is 6627.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72661) 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, 334 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (4872).

272660 is an apocalyptic number.

72660 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116928).

72660 is an abundant number, since it is smaller than the sum of its proper divisors (161196).

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

72660 is a wasteful number, since it uses less digits than its factorization.

72660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72660 is about 269.5551891543. Note that the first 3 decimals coincide. The cubic root of 72660 is about 41.7284062500.

The spelling of 72660 in words is "seventy-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 173 210 346 420 519 692 865 1038 1211 1730 2076 2422 2595 3460 3633 4844 5190 6055 7266 10380 12110 14532 18165 24220 36330 72660