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72872130 = 2352429071
BaseRepresentation
bin1000101011111…
…11000011000010
312002010021202210
410111333003002
5122123402010
611121522550
71543255122
oct425770302
9162107683
1072872130
1138152a01
12204a3456
1312135c06
14996cc82
1565e6b20
hex457f0c2

72872130 has 16 divisors (see below), whose sum is σ = 174893184. Its totient is φ = 19432560.

The previous prime is 72872117. The next prime is 72872131. The reversal of 72872130 is 3127827.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 2429071 = 72872130 / (7 + 2 + 8 + 7 + 2 + 1 + 3 + 0).

It is not an unprimeable number, because it can be changed into a prime (72872131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214506 + ... + 1214565.

It is an arithmetic number, because the mean of its divisors is an integer number (10930824).

Almost surely, 272872130 is an apocalyptic number.

72872130 is an abundant number, since it is smaller than the sum of its proper divisors (102021054).

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

72872130 is a wasteful number, since it uses less digits than its factorization.

72872130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429081.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 72872130 is about 8536.5174397994. The cubic root of 72872130 is about 417.6897532270.

Adding to 72872130 its reverse (3127827), we get a palindrome (75999957).

The spelling of 72872130 in words is "seventy-two million, eight hundred seventy-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 2429071 4858142 7287213 12145355 14574426 24290710 36436065 72872130