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72506223 = 32191672539
BaseRepresentation
bin1000101001001…
…01101101101111
312001102200211200
410110211231233
5122030144343
611110020543
71540202256
oct424455557
9161380750
1072506223
1137a22aa9
1220347753
13120384ba
1498b579d
1565734d3
hex4525b6f

72506223 has 24 divisors (see below), whose sum is σ = 110947200. Its totient is φ = 45501264.

The previous prime is 72506219. The next prime is 72506237. The reversal of 72506223 is 32260527.

It is not a de Polignac number, because 72506223 - 22 = 72506219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27288 + ... + 29826.

It is an arithmetic number, because the mean of its divisors is an integer number (4622800).

Almost surely, 272506223 is an apocalyptic number.

72506223 is a deficient number, since it is larger than the sum of its proper divisors (38440977).

72506223 is a wasteful number, since it uses less digits than its factorization.

72506223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72506223 is about 8515.0586022646. The cubic root of 72506223 is about 416.9894757795.

The spelling of 72506223 in words is "seventy-two million, five hundred six thousand, two hundred twenty-three".

Divisors: 1 3 9 19 57 167 171 501 1503 2539 3173 7617 9519 22851 28557 48241 144723 424013 434169 1272039 3816117 8056247 24168741 72506223