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72436014 = 23272174831
BaseRepresentation
bin1000101000101…
…00100100101110
312001022010112100
410110110210232
5122020423024
611104315530
71536460500
oct424244456
9161263470
1072436014
1137985282
1220312ba6
1312012561
149897d70
15655c7c9
hex451492e

72436014 has 72 divisors (see below), whose sum is σ = 193347648. Its totient is φ = 19474560.

The previous prime is 72435991. The next prime is 72436061. The reversal of 72436014 is 41063427.

It is a super-2 number, since 2×724360142 = 10493952248416392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12579 + ... + 17409.

It is an arithmetic number, because the mean of its divisors is an integer number (2685384).

Almost surely, 272436014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72436014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96673824).

72436014 is an abundant number, since it is smaller than the sum of its proper divisors (120911634).

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

72436014 is a wasteful number, since it uses less digits than its factorization.

72436014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72436014 is about 8510.9349662655. The cubic root of 72436014 is about 416.8548396632.

The spelling of 72436014 in words is "seventy-two million, four hundred thirty-six thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4831 4998 7497 9662 14493 14994 28986 33817 43479 67634 82127 86958 101451 164254 202902 236719 246381 304353 473438 492762 574889 608706 710157 739143 1149778 1420314 1478286 1724667 2130471 3449334 4024223 4260942 5174001 8048446 10348002 12072669 24145338 36218007 72436014