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72471060 = 22325457881
BaseRepresentation
bin1000101000111…
…01001000010100
312001100220121100
410110131020110
5122023033220
611105150100
71536664614
oct424351024
9161326540
1072471060
11379a9642
122032b330
13120254ac
1498a6a44
156567d90
hex451d214

72471060 has 72 divisors (see below), whose sum is σ = 220559976. Its totient is φ = 19261440.

The previous prime is 72471041. The next prime is 72471071. The reversal of 72471060 is 6017427.

72471060 = T319 + T320 + ... + T775.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 63968004 = 2916^2 + 7998^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81820 + ... + 82700.

It is an arithmetic number, because the mean of its divisors is an integer number (3063333).

Almost surely, 272471060 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 72471060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110279988).

72471060 is an abundant number, since it is smaller than the sum of its proper divisors (148088916).

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

72471060 is a wasteful number, since it uses less digits than its factorization.

72471060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1348 counting only the distinct ones).

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

The square root of 72471060 is about 8512.9935980241. The cubic root of 72471060 is about 416.9220564084.

Adding to 72471060 its reverse (6017427), we get a palindrome (78488487).

The spelling of 72471060 in words is "seventy-two million, four hundred seventy-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 881 914 1371 1762 1828 2285 2643 2742 3524 4113 4405 4570 5286 5484 6855 7929 8226 8810 9140 10572 13215 13710 15858 16452 17620 20565 26430 27420 31716 39645 41130 52860 79290 82260 158580 402617 805234 1207851 1610468 2013085 2415702 3623553 4026170 4831404 6039255 7247106 8052340 12078510 14494212 18117765 24157020 36235530 72471060