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72444312 = 23321006171
BaseRepresentation
bin1000101000101…
…10100110011000
312001022112220200
410110112212120
5122021204222
611104422200
71536523623
oct424264630
9161275820
1072444312
1137990536
1220317960
1312016275
14989adba
15655eeac
hex4516998

72444312 has 24 divisors (see below), whose sum is σ = 196203540. Its totient is φ = 24148080.

The previous prime is 72444301. The next prime is 72444313. The reversal of 72444312 is 21344427.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72444313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 503014 + ... + 503157.

Almost surely, 272444312 is an apocalyptic number.

72444312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72444312 is an abundant number, since it is smaller than the sum of its proper divisors (123759228).

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

72444312 is a wasteful number, since it uses less digits than its factorization.

72444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006183 (or 1006176 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 72444312 is about 8511.4224428118. The cubic root of 72444312 is about 416.8707568347.

Adding to 72444312 its reverse (21344427), we get a palindrome (93788739).

The spelling of 72444312 in words is "seventy-two million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1006171 2012342 3018513 4024684 6037026 8049368 9055539 12074052 18111078 24148104 36222156 72444312