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72430944 = 253754489
BaseRepresentation
bin1000101000100…
…11010101100000
312001021212120120
410110103111200
5122020242234
611104240240
71536436635
oct424232540
9161255516
1072430944
1137981493
1220310080
1312010161
14989618c
15655b049
hex4513560

72430944 has 24 divisors (see below), whose sum is σ = 190131480. Its totient is φ = 24143616.

The previous prime is 72430921. The next prime is 72430957. The reversal of 72430944 is 44903427.

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

It is a super-2 number, since 2×724309442 = 10492483297462272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 377149 + ... + 377340.

It is an arithmetic number, because the mean of its divisors is an integer number (7922145).

Almost surely, 272430944 is an apocalyptic number.

It is an amenable number.

72430944 is an abundant number, since it is smaller than the sum of its proper divisors (117700536).

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

72430944 is a wasteful number, since it uses less digits than its factorization.

72430944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754502 (or 754494 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72430944 is about 8510.6371089361. The cubic root of 72430944 is about 416.8451138227.

The spelling of 72430944 in words is "seventy-two million, four hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 754489 1508978 2263467 3017956 4526934 6035912 9053868 12071824 18107736 24143648 36215472 72430944