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72495232 = 272931933
BaseRepresentation
bin1000101001000…
…11000010000000
312001102010202121
410110203002000
5122024321412
611105454024
71540125235
oct424430200
9161363677
1072495232
1137a15817
1220341314
13120334b4
1498b178c
156570107
hex4523080

72495232 has 32 divisors (see below), whose sum is σ = 144991980. Its totient is φ = 36105216.

The previous prime is 72495229. The next prime is 72495233. The reversal of 72495232 is 23259427.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63107136 + 9388096 = 7944^2 + 3064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (72495233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36538 + ... + 38470.

Almost surely, 272495232 is an apocalyptic number.

It is an amenable number.

72495232 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

72495232 is a wasteful number, since it uses less digits than its factorization.

72495232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2228 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 72495232 is about 8514.4131917590. The cubic root of 72495232 is about 416.9684046551.

It can be divided in two parts, 72495 and 232, that added together give a palindrome (72727).

The spelling of 72495232 in words is "seventy-two million, four hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 293 586 1172 1933 2344 3866 4688 7732 9376 15464 18752 30928 37504 61856 123712 247424 566369 1132738 2265476 4530952 9061904 18123808 36247616 72495232