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72445152 = 2531358049
BaseRepresentation
bin1000101000101…
…10110011100000
312001022121001210
410110112303200
5122021221102
611104430120
71536526233
oct424266340
9161277053
1072445152
113799112a
1220318340
1312016770
14989b41a
15656036c
hex4516ce0

72445152 has 48 divisors (see below), whose sum is σ = 204800400. Its totient is φ = 22290432.

The previous prime is 72445111. The next prime is 72445159. The reversal of 72445152 is 25154427.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72445159) 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 7 ways as a sum of consecutive naturals, for example, 27777 + ... + 30272.

It is an arithmetic number, because the mean of its divisors is an integer number (4266675).

Almost surely, 272445152 is an apocalyptic number.

It is an amenable number.

72445152 is an abundant number, since it is smaller than the sum of its proper divisors (132355248).

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

72445152 is a wasteful number, since it uses less digits than its factorization.

72445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58075 (or 58067 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 72445152 is about 8511.4717881222. The cubic root of 72445152 is about 416.8723680497.

Adding to 72445152 its reverse (25154427), we get a palindrome (97599579).

The spelling of 72445152 in words is "seventy-two million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 58049 116098 174147 232196 348294 464392 696588 754637 928784 1393176 1509274 1857568 2263911 2786352 3018548 4527822 5572704 6037096 9055644 12074192 18111288 24148384 36222576 72445152