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72264 = 2333011
BaseRepresentation
bin10001101001001000
310200010110
4101221020
54303024
61314320
7420453
oct215110
9120113
1072264
114a325
12359a0
1326b7a
141c49a
1516629
hex11a48

72264 has 16 divisors (see below), whose sum is σ = 180720. Its totient is φ = 24080.

The previous prime is 72253. The next prime is 72269. The reversal of 72264 is 46227.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72264.

It is not an unprimeable number, because it can be changed into a prime (72269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1482 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (11295).

272264 is an apocalyptic number.

It is an amenable number.

72264 is an abundant number, since it is smaller than the sum of its proper divisors (108456).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90360).

72264 is a wasteful number, since it uses less digits than its factorization.

72264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3016 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 72264 is about 268.8196421395. The cubic root of 72264 is about 41.6524609351.

The spelling of 72264 in words is "seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 3011 6022 9033 12044 18066 24088 36132 72264