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72545226 = 23136179193
BaseRepresentation
bin1000101001011…
…11001111001010
312001111200100020
410110233033022
5122032421401
611110521310
71540424055
oct424571712
9161450306
1072545226
1137a4a336
1220366236
1312050190
1498c5a9c
15657ed36
hex452f3ca

72545226 has 64 divisors (see below), whose sum is σ = 161656320. Its totient is φ = 21565440.

The previous prime is 72545203. The next prime is 72545227. The reversal of 72545226 is 62254527.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72545227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375786 + ... + 375978.

It is an arithmetic number, because the mean of its divisors is an integer number (2525880).

Almost surely, 272545226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72545226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80828160).

72545226 is an abundant number, since it is smaller than the sum of its proper divisors (89111094).

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

72545226 is a wasteful number, since it uses less digits than its factorization.

72545226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its digits is 33600, while the sum is 33.

The square root of 72545226 is about 8517.3485310864. The cubic root of 72545226 is about 417.0642322370.

It can be divided in two parts, 72545 and 226, that added together give a triangular number (72771 = T381).

The spelling of 72545226 in words is "seventy-two million, five hundred forty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 61 78 79 122 158 183 193 237 366 386 474 579 793 1027 1158 1586 2054 2379 2509 3081 4758 4819 5018 6162 7527 9638 11773 14457 15054 15247 23546 28914 30494 35319 45741 62647 70638 91482 125294 153049 187941 198211 306098 375882 396422 459147 594633 918294 930067 1189266 1860134 2790201 5580402 12090871 24181742 36272613 72545226