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72353763 = 3316372
BaseRepresentation
bin1000101000000…
…00011111100011
312001010221201000
410110000133203
5122010310023
611102443043
71535665626
oct424003743
9161127630
1072353763
11379294a9
1220293483
1311cb3ca1
149875dbd
156543243
hex45007e3

72353763 has 12 divisors (see below), whose sum is σ = 107256280. Its totient is φ = 48206376.

The previous prime is 72353693. The next prime is 72353773. The reversal of 72353763 is 36735327.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a de Polignac number, because none of the positive numbers 2k-72353763 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72353773) 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 11 ways as a sum of consecutive naturals, for example, 43381 + ... + 45017.

Almost surely, 272353763 is an apocalyptic number.

72353763 is a deficient number, since it is larger than the sum of its proper divisors (34902517).

72353763 is an frugal number, since it uses more digits than its factorization.

72353763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 1640 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 72353763 is about 8506.1015159708. The cubic root of 72353763 is about 416.6970005294.

The spelling of 72353763 in words is "seventy-two million, three hundred fifty-three thousand, seven hundred sixty-three".

Divisors: 1 3 9 27 1637 4911 14733 44199 2679769 8039307 24117921 72353763