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72430500 = 22353109443
BaseRepresentation
bin1000101000100…
…11001110100100
312001021211222010
410110103032210
5122020234000
611104234220
71536435432
oct424231644
9161254863
1072430500
113798111a
122030b970
131200cbac
149895d52
15655ad50
hex45133a4

72430500 has 96 divisors (see below), whose sum is σ = 213333120. Its totient is φ = 19094400.

The previous prime is 72430499. The next prime is 72430507. The reversal of 72430500 is 503427.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72430507) 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 31 ways as a sum of consecutive naturals, for example, 163279 + ... + 163721.

It is an arithmetic number, because the mean of its divisors is an integer number (2222220).

Almost surely, 272430500 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 72430500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106666560).

72430500 is an abundant number, since it is smaller than the sum of its proper divisors (140902620).

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

72430500 is a wasteful number, since it uses less digits than its factorization.

72430500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

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

The square root of 72430500 is about 8510.6110238925. The cubic root of 72430500 is about 416.8442620707.

Adding to 72430500 its reverse (503427), we get a palindrome (72933927).

The spelling of 72430500 in words is "seventy-two million, four hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 125 150 218 250 300 327 375 436 443 500 545 654 750 886 1090 1308 1329 1500 1635 1772 2180 2215 2658 2725 3270 4430 5316 5450 6540 6645 8175 8860 10900 11075 13290 13625 16350 22150 26580 27250 32700 33225 40875 44300 48287 54500 55375 66450 81750 96574 110750 132900 144861 163500 166125 193148 221500 241435 289722 332250 482870 579444 664500 724305 965740 1207175 1448610 2414350 2897220 3621525 4828700 6035875 7243050 12071750 14486100 18107625 24143500 36215250 72430500