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72270990 = 232511371973
BaseRepresentation
bin1000100111011…
…00010010001110
312000222202011100
410103230102032
5122000132430
611101003530
71535202411
oct423542216
9160882140
1072270990
11378822a0
12202535a6
1311c853cc
149853b78
156528960
hex44ec48e

72270990 has 96 divisors (see below), whose sum is σ = 210633696. Its totient is φ = 17038080.

The previous prime is 72270967. The next prime is 72271021. The reversal of 72270990 is 9907227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35644 + ... + 37616.

It is an arithmetic number, because the mean of its divisors is an integer number (2194101).

Almost surely, 272270990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72270990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105316848).

72270990 is an abundant number, since it is smaller than the sum of its proper divisors (138362706).

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

72270990 is a wasteful number, since it uses less digits than its factorization.

72270990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 72270990 is about 8501.2346162190. The cubic root of 72270990 is about 416.5380388736.

The spelling of 72270990 in words is "seventy-two million, two hundred seventy thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 1973 2035 2442 3330 3663 3946 4070 5919 6105 7326 9865 11838 12210 17757 18315 19730 21703 29595 35514 36630 43406 59190 65109 73001 88785 108515 130218 146002 177570 195327 217030 219003 325545 365005 390654 438006 651090 657009 730010 803011 976635 1095015 1314018 1606022 1953270 2190030 2409033 3285045 4015055 4818066 6570090 7227099 8030110 12045165 14454198 24090330 36135495 72270990