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72097130 = 2572147137
BaseRepresentation
bin1000100110000…
…01110101101010
312000122220200002
410103001311222
5121424102010
611053143002
71533546500
oct423016552
9160586602
1072097130
1137773706
122018aa62
1311c24231
14980a670
1564e21a5
hex44c1d6a

72097130 has 24 divisors (see below), whose sum is σ = 150963588. Its totient is φ = 24718848.

The previous prime is 72097117. The next prime is 72097139. The reversal of 72097130 is 3179027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72097081 + 49 = 8491^2 + 7^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72097093 and 72097102.

It is not an unprimeable number, because it can be changed into a prime (72097139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73079 + ... + 74058.

Almost surely, 272097130 is an apocalyptic number.

72097130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72097130 is an abundant number, since it is smaller than the sum of its proper divisors (78866458).

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

72097130 is a wasteful number, since it uses less digits than its factorization.

72097130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147158 (or 147151 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 72097130 is about 8491.0028854076. The cubic root of 72097130 is about 416.2037532751.

It can be divided in two parts, 72097 and 130, that added together give a palindrome (72227).

The spelling of 72097130 in words is "seventy-two million, ninety-seven thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 147137 294274 735685 1029959 1471370 2059918 5149795 7209713 10299590 14419426 36048565 72097130