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72257 = 193803
BaseRepresentation
bin10001101001000001
310200010012
4101221001
54303012
61314305
7420443
oct215101
9120105
1072257
114a319
1235995
1326b73
141c493
1516622
hex11a41

72257 has 4 divisors (see below), whose sum is σ = 76080. Its totient is φ = 68436.

The previous prime is 72253. The next prime is 72269. The reversal of 72257 is 75227.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72257 - 22 = 72253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72251) 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, 1883 + ... + 1920.

It is an arithmetic number, because the mean of its divisors is an integer number (19020).

272257 is an apocalyptic number.

It is an amenable number.

72257 is a deficient number, since it is larger than the sum of its proper divisors (3823).

72257 is a wasteful number, since it uses less digits than its factorization.

72257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822.

The product of its digits is 980, while the sum is 23.

The square root of 72257 is about 268.8066219422. The cubic root of 72257 is about 41.6511159747.

Adding to 72257 its product of digits (980), we get a palindrome (73237).

The spelling of 72257 in words is "seventy-two thousand, two hundred fifty-seven".

Divisors: 1 19 3803 72257