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72023130 = 23253492293
BaseRepresentation
bin1000100101011…
…11110001011010
312000112011011100
410102233301122
5121414220010
611051412230
71533120654
oct422576132
9160464140
1072023130
1137723053
1220154076
1311bc964a
1497cb6d4
1564ca2c0
hex44afc5a

72023130 has 48 divisors (see below), whose sum is σ = 187878600. Its totient is φ = 19142784.

The previous prime is 72023111. The next prime is 72023177. The reversal of 72023130 is 3132027.

72023130 = T460 + T461 + ... + T808.

It can be written as a sum of positive squares in 4 ways, for example, as 58384881 + 13638249 = 7641^2 + 3693^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 30264 + ... + 32556.

Almost surely, 272023130 is an apocalyptic number.

72023130 is an abundant number, since it is smaller than the sum of its proper divisors (115855470).

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

72023130 is a wasteful number, since it uses less digits than its factorization.

72023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 72023130 is about 8486.6442131151. The cubic root of 72023130 is about 416.0613083027.

Adding to 72023130 its reverse (3132027), we get a palindrome (75155157).

The spelling of 72023130 in words is "seventy-two million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 349 698 1047 1745 2094 2293 3141 3490 4586 5235 6282 6879 10470 11465 13758 15705 20637 22930 31410 34395 41274 68790 103185 206370 800257 1600514 2400771 4001285 4801542 7202313 8002570 12003855 14404626 24007710 36011565 72023130