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72499427 = 71113234767
BaseRepresentation
bin1000101001001…
…00000011100011
312001102100111222
410110210003203
5122024440202
611105525255
71540143410
oct424440343
9161370458
1072499427
1137a18990
122034382b
1312035390
1498b3107
1565714a2
hex45240e3

72499427 has 64 divisors (see below), whose sum is σ = 105283584. Its totient is φ = 48090240.

The previous prime is 72499423. The next prime is 72499429.

72499427 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72499427 - 22 = 72499423 is a prime.

Its product of digits (254016) is a multiple of the sum of its prime divisors (168).

It is not an unprimeable number, because it can be changed into a prime (72499423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1082048 + ... + 1082114.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056).

Almost surely, 272499427 is an apocalyptic number.

72499427 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72499427 is a deficient number, since it is larger than the sum of its proper divisors (32784157).

72499427 is a wasteful number, since it uses less digits than its factorization.

72499427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168.

The product of its digits is 254016, while the sum is 44.

The square root of 72499427 is about 8514.6595351781. The cubic root of 72499427 is about 416.9764472471.

The spelling of 72499427 in words is "seventy-two million, four hundred ninety-nine thousand, four hundred twenty-seven".

Divisors: 1 7 11 13 23 47 67 77 91 143 161 253 299 329 469 517 611 737 871 1001 1081 1541 1771 2093 3149 3289 3619 4277 5159 6097 6721 7567 9581 10787 11891 14053 16951 20033 22043 23023 34639 40937 47047 67067 72427 83237 98371 118657 140231 154583 220363 242473 286559 450307 506989 796697 941551 1082081 1542541 3152149 5576879 6590857 10357061 72499427