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8730072 = 2333133109
BaseRepresentation
bin100001010011…
…010111011000
3121102112102000
4201103113120
54213330242
6511041000
7134130051
oct41232730
917375360
108730072
114a2303a
122b10160
131a68830
141233728
15b76a4c
hex8535d8

8730072 has 64 divisors (see below), whose sum is σ = 26124000. Its totient is φ = 2685312.

The previous prime is 8730067. The next prime is 8730077. The reversal of 8730072 is 2700378.

It is an interprime number because it is at equal distance from previous prime (8730067) and next prime (8730077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8730077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254 + ... + 4362.

Almost surely, 28730072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8730072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062000).

8730072 is an abundant number, since it is smaller than the sum of its proper divisors (17393928).

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

8730072 is a wasteful number, since it uses less digits than its factorization.

8730072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 8730072 is about 2954.6695246677. The cubic root of 8730072 is about 205.9077099397.

The spelling of 8730072 in words is "eight million, seven hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 3109 6218 9327 12436 18654 24872 27981 37308 40417 55962 74616 80834 83943 111924 121251 161668 167886 223848 242502 323336 335772 363753 485004 671544 727506 970008 1091259 1455012 2182518 2910024 4365036 8730072