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72204144 = 2437512003
BaseRepresentation
bin1000100110110…
…11111101110000
312000212100110120
410103123331300
5121441013034
611055330240
71534503465
oct423337560
9160770416
1072204144
1137837051
1220220980
1311c60b5c
14983766c
156513c49
hex44dbf70

72204144 has 40 divisors (see below), whose sum is σ = 186868992. Its totient is φ = 24024000.

The previous prime is 72204109. The next prime is 72204149. The reversal of 72204144 is 44140227.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72204149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35047 + ... + 37049.

Almost surely, 272204144 is an apocalyptic number.

It is an amenable number.

72204144 is an abundant number, since it is smaller than the sum of its proper divisors (114664848).

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

72204144 is a wasteful number, since it uses less digits than its factorization.

72204144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 72204144 is about 8497.3021600976. The cubic root of 72204144 is about 416.4095756605.

The spelling of 72204144 in words is "seventy-two million, two hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 751 1502 2003 2253 3004 4006 4506 6008 6009 8012 9012 12016 12018 16024 18024 24036 32048 36048 48072 96144 1504253 3008506 4512759 6017012 9025518 12034024 18051036 24068048 36102072 72204144