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72106554 = 23132174789
BaseRepresentation
bin1000100110001…
…00001000111010
312000200101121010
410103010020322
5121424402204
611053254350
71533616122
oct423041072
9160611533
1072106554
113777a7a3
12201943b6
1311c28600
14980dc82
1564e4d89
hex44c423a

72106554 has 96 divisors (see below), whose sum is σ = 170760960. Its totient is φ = 20207616.

The previous prime is 72106549. The next prime is 72106579. The reversal of 72106554 is 45560127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810142 + ... + 810230.

It is an arithmetic number, because the mean of its divisors is an integer number (1778760).

Almost surely, 272106554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72106554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85380480).

72106554 is an abundant number, since it is smaller than the sum of its proper divisors (98654406).

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

72106554 is a wasteful number, since it uses less digits than its factorization.

72106554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72106554 is about 8491.5578076110. The cubic root of 72106554 is about 416.2218868369.

The spelling of 72106554 in words is "seventy-two million, one hundred six thousand, five hundred fifty-four".

Divisors: 1 2 3 6 13 17 26 34 39 47 51 78 89 94 102 141 169 178 221 267 282 338 442 507 534 611 663 799 1014 1157 1222 1326 1513 1598 1833 2314 2397 2873 3026 3471 3666 4183 4539 4794 5746 6942 7943 8366 8619 9078 10387 12549 15041 15886 17238 19669 20774 23829 25098 30082 31161 39338 45123 47658 54379 59007 62322 71111 90246 108758 118014 135031 142222 163137 213333 255697 270062 326274 405093 426666 511394 706927 767091 810186 924443 1413854 1534182 1848886 2120781 2773329 4241562 5546658 12017759 24035518 36053277 72106554