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72730575 = 33521953107
BaseRepresentation
bin1000101010111…
…00011111001111
312001212002121000
410111130133033
5122104334300
611114511343
71542125331
oct425343717
9161762530
1072730575
1138066615
1220435553
13120b6658
149933451
1565b9c00
hex455c7cf

72730575 has 96 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 35717760.

The previous prime is 72730571. The next prime is 72730583. The reversal of 72730575 is 57503727.

It is not a de Polignac number, because 72730575 - 22 = 72730571 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72730571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679672 + ... + 679778.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 272730575 is an apocalyptic number.

72730575 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72730575 is a deficient number, since it is larger than the sum of its proper divisors (71903025).

72730575 is a wasteful number, since it uses less digits than its factorization.

72730575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 51450, while the sum is 36.

The square root of 72730575 is about 8528.2222649272. Note that the first 4 decimals coincide. The cubic root of 72730575 is about 417.4191221057.

The spelling of 72730575 in words is "seventy-two million, seven hundred thirty thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 27 45 53 57 75 95 107 135 159 171 225 265 285 321 475 477 513 535 675 795 855 963 1007 1325 1425 1431 1605 2033 2385 2565 2675 2889 3021 3975 4275 4815 5035 5671 6099 7155 8025 9063 10165 11925 12825 14445 15105 17013 18297 24075 25175 27189 28355 30495 35775 45315 50825 51039 54891 72225 75525 85065 91485 107749 135945 141775 152475 153117 226575 255195 274455 323247 425325 457425 538745 679725 765585 969741 1275975 1372275 1616235 2693725 2909223 3827925 4848705 8081175 14546115 24243525 72730575