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72505260 = 22335134269
BaseRepresentation
bin1000101001001…
…01011110101100
312001102122112000
410110211132230
5122030132020
611110012300
71540166412
oct424453654
9161378460
1072505260
1137a22303
1220347090
1312037c29
1498b52b2
156573090
hex45257ac

72505260 has 48 divisors (see below), whose sum is σ = 225573600. Its totient is φ = 19334592.

The previous prime is 72505253. The next prime is 72505283. The reversal of 72505260 is 6250527.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66595 + ... + 67674.

It is an arithmetic number, because the mean of its divisors is an integer number (4699450).

Almost surely, 272505260 is an apocalyptic number.

It is an amenable number.

72505260 is an abundant number, since it is smaller than the sum of its proper divisors (153068340).

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

72505260 is a wasteful number, since it uses less digits than its factorization.

72505260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134287 (or 134279 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72505260 is about 8515.0020551965. The cubic root of 72505260 is about 416.9876296729.

Adding to 72505260 its reverse (6250527), we get a palindrome (78755787).

The spelling of 72505260 in words is "seventy-two million, five hundred five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 134269 268538 402807 537076 671345 805614 1208421 1342690 1611228 2014035 2416842 2685380 3625263 4028070 4833684 6042105 7250526 8056140 12084210 14501052 18126315 24168420 36252630 72505260