Search a number
-
+
72700380 = 22325419851
BaseRepresentation
bin1000101010101…
…01000111011100
312001210120011200
410111111013130
5122102403010
611114115500
71541641314
oct425250734
9161716150
1072700380
1138045965
122041bb90
13120a599c
149926444
1565b0cc0
hex45551dc

72700380 has 72 divisors (see below), whose sum is σ = 225926064. Its totient is φ = 18912000.

The previous prime is 72700373. The next prime is 72700409. The reversal of 72700380 is 8300727.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (3137862).

Almost surely, 272700380 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 72700380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112963032).

72700380 is an abundant number, since it is smaller than the sum of its proper divisors (153225684).

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

72700380 is a wasteful number, since it uses less digits than its factorization.

72700380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9907 (or 9902 counting only the distinct ones).

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

The square root of 72700380 is about 8526.4517825412. The cubic root of 72700380 is about 417.3613485352.

The spelling of 72700380 in words is "seventy-two million, seven hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 9851 19702 29553 39404 49255 59106 88659 98510 118212 147765 177318 197020 295530 354636 403891 443295 591060 807782 886590 1211673 1615564 1773180 2019455 2423346 3635019 4038910 4846692 6058365 7270038 8077820 12116730 14540076 18175095 24233460 36350190 72700380