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72040024 = 2376121089
BaseRepresentation
bin1000100101100…
…11111001011000
312000120000100001
410102303321120
5121420240044
611052022344
71533221140
oct422637130
9160500301
1072040024
1137734811
12201619b4
1311c04244
1497d3920
1564d02d4
hex44b3e58

72040024 has 32 divisors (see below), whose sum is σ = 156909600. Its totient is φ = 30366720.

The previous prime is 72040019. The next prime is 72040027. The reversal of 72040024 is 42004027.

It is a junction number, because it is equal to n+sod(n) for n = 72039983 and 72040010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72040027) 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, 7129 + ... + 13960.

It is an arithmetic number, because the mean of its divisors is an integer number (4903425).

Almost surely, 272040024 is an apocalyptic number.

It is an amenable number.

72040024 is an abundant number, since it is smaller than the sum of its proper divisors (84869576).

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

72040024 is a wasteful number, since it uses less digits than its factorization.

72040024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21163 (or 21159 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 72040024 is about 8487.6394833899. The cubic root of 72040024 is about 416.0938366967.

The spelling of 72040024 in words is "seventy-two million, forty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 3416 21089 42178 84356 147623 168712 295246 590492 1180984 1286429 2572858 5145716 9005003 10291432 18010006 36020012 72040024