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72443640 = 23354571321
BaseRepresentation
bin1000101000101…
…10011011111000
312001022111222210
410110112123320
5122021144030
611104415120
71536521643
oct424263370
9161274883
1072443640
113798aa85
12203174a0
1312015b79
14989aa5a
15655ebb0
hex45166f8

72443640 has 64 divisors (see below), whose sum is σ = 217971360. Its totient is φ = 19261440.

The previous prime is 72443639. The next prime is 72443663. The reversal of 72443640 is 4634427.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72443598 and 72443607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54180 + ... + 55500.

Almost surely, 272443640 is an apocalyptic number.

It is an amenable number.

72443640 is an abundant number, since it is smaller than the sum of its proper divisors (145527720).

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

72443640 is a wasteful number, since it uses less digits than its factorization.

72443640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 72443640 is about 8511.3829663575. The cubic root of 72443640 is about 416.8694678538.

The spelling of 72443640 in words is "seventy-two million, four hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 457 914 1321 1371 1828 2285 2642 2742 3656 3963 4570 5284 5484 6605 6855 7926 9140 10568 10968 13210 13710 15852 18280 19815 26420 27420 31704 39630 52840 54840 79260 158520 603697 1207394 1811091 2414788 3018485 3622182 4829576 6036970 7244364 9055455 12073940 14488728 18110910 24147880 36221820 72443640