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72444744 = 23321006177
BaseRepresentation
bin1000101000101…
…10101101001000
312001022120111200
410110112231020
5122021212434
611104424200
71536525111
oct424265510
9161276450
1072444744
1137990899
1220318060
1312016518
14989b208
156560199
hex4516b48

72444744 has 24 divisors (see below), whose sum is σ = 196204710. Its totient is φ = 24148224.

The previous prime is 72444731. The next prime is 72444761. The reversal of 72444744 is 44744427.

It can be written as a sum of positive squares in only one way, i.e., 44756100 + 27688644 = 6690^2 + 5262^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72444699 and 72444708.

It is an unprimeable number.

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, 503017 + ... + 503160.

Almost surely, 272444744 is an apocalyptic number.

It is an amenable number.

72444744 is an abundant number, since it is smaller than the sum of its proper divisors (123759966).

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

72444744 is a wasteful number, since it uses less digits than its factorization.

72444744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006189 (or 1006182 counting only the distinct ones).

The product of its digits is 100352, while the sum is 36.

The square root of 72444744 is about 8511.4478204357. The cubic root of 72444744 is about 416.8715854611.

The spelling of 72444744 in words is "seventy-two million, four hundred forty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1006177 2012354 3018531 4024708 6037062 8049416 9055593 12074124 18111186 24148248 36222372 72444744