An alkylene oxide derivative represented by following formula (I):R—;O-(AO)a—;[(PO)b/(EO)c]—;H ; ;(I)(R represents a linear or branched alkyl group having from 4 to 36 carbons; AO is an oxyalkylene group having three or four carbons, PO is an oxypropylene group, and EO is an oxyethylene group; a, b, and c are the average addition molar numbers of the oxyalkylene group, the oxypropylene group, and the oxyethylene group per molecule, respectively, and 1≤;a≤;40, 1≤;b≤;40, 1≤;c≤;80, and (a+b+c)≥;20; [(PO)b/(EO)c] represents a polyoxyalkylene group in which b moles of PO and c moles of EO are bonded randomly, and the random rate x is 0.1≤;x≤;1).