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72345 = 3571353
BaseRepresentation
bin10001101010011001
310200020110
4101222121
54303340
61314533
7420630
oct215231
9120213
1072345
114a399
1235a49
1326c10
141c517
1516680
hex11a99

72345 has 32 divisors (see below), whose sum is σ = 145152. Its totient is φ = 29952.

The previous prime is 72341. The next prime is 72353. The reversal of 72345 is 54327.

72345 = T46 + T47 + ... + T80.

It is a happy number.

It is not a de Polignac number, because 72345 - 22 = 72341 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

272345 is an apocalyptic number.

It is an amenable number.

72345 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (72576).

72345 is a wasteful number, since it uses less digits than its factorization.

72345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its digits is 840, while the sum is 21.

The square root of 72345 is about 268.9702585789. The cubic root of 72345 is about 41.6680177340.

Multiplying 72345 by its product of digits (840), we get a triangular number (60769800 = T11024).

The spelling of 72345 in words is "seventy-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 53 65 91 105 159 195 265 273 371 455 689 795 1113 1365 1855 2067 3445 4823 5565 10335 14469 24115 72345