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72006130 = 2572979449
BaseRepresentation
bin1000100101010…
…11100111110010
312000111021211201
410102223213302
5121413144010
611051201414
71533020260
oct422534762
9160437751
1072006130
11377112a9
122014626a
1311bc19a1
1497c5430
1564c523a
hex44ab9f2

72006130 has 64 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 23482368.

The previous prime is 72006113. The next prime is 72006133. The reversal of 72006130 is 3160027.

It is a junction number, because it is equal to n+sod(n) for n = 72006098 and 72006107.

It is not an unprimeable number, because it can be changed into a prime (72006133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160146 + ... + 160594.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 272006130 is an apocalyptic number.

72006130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72006130 is an abundant number, since it is smaller than the sum of its proper divisors (83513870).

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

72006130 is a wasteful number, since it uses less digits than its factorization.

72006130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 72006130 is about 8485.6425802646. The cubic root of 72006130 is about 416.0285706770.

Adding to 72006130 its reverse (3160027), we get a palindrome (75166157).

The spelling of 72006130 in words is "seventy-two million, six thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 58 70 79 145 158 203 290 395 406 449 553 790 898 1015 1106 2030 2245 2291 2765 3143 4490 4582 5530 6286 11455 13021 15715 16037 22910 26042 31430 32074 35471 65105 70942 80185 91147 130210 160370 177355 182294 248297 354710 455735 496594 911470 1028659 1241485 2057318 2482970 5143295 7200613 10286590 14401226 36003065 72006130