Search a number
-
+
72611370 = 233513137151
BaseRepresentation
bin1000101001111…
…11011000101010
312001122001002000
410110333120222
5122042030440
611112151430
71541120646
oct424773052
9161561060
1072611370
1137a94aa7
1220398576
1312074310
149901c26
156594730
hex453f62a

72611370 has 128 divisors (see below), whose sum is σ = 211438080. Its totient is φ = 17625600.

The previous prime is 72611351. The next prime is 72611417. The reversal of 72611370 is 7311627.

It is a super-2 number, since 2×726113702 = 10544822106553800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480795 + ... + 480945.

It is an arithmetic number, because the mean of its divisors is an integer number (1651860).

Almost surely, 272611370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72611370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105719040).

72611370 is an abundant number, since it is smaller than the sum of its proper divisors (138826710).

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

72611370 is a wasteful number, since it uses less digits than its factorization.

72611370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72611370 is about 8521.2305449389. The cubic root of 72611370 is about 417.1909482104.

Adding to 72611370 its reverse (7311627), we get a palindrome (79922997).

The spelling of 72611370 in words is "seventy-two million, six hundred eleven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 137 151 195 234 270 274 302 351 390 411 453 585 685 702 755 822 906 1170 1233 1359 1370 1510 1755 1781 1963 2055 2265 2466 2718 3510 3562 3699 3926 4077 4110 4530 5343 5889 6165 6795 7398 8154 8905 9815 10686 11778 12330 13590 16029 17667 17810 18495 19630 20385 20687 26715 29445 32058 35334 36990 40770 41374 48087 53001 53430 58890 62061 80145 88335 96174 103435 106002 124122 160290 176670 186183 206870 240435 265005 268931 310305 372366 480870 530010 537862 558549 620610 806793 930915 1117098 1344655 1613586 1861830 2420379 2689310 2792745 4033965 4840758 5585490 7261137 8067930 12101895 14522274 24203790 36305685 72611370